de Sitter String Vacua from Supersymmetric D-terms

C.P. Burgess; F. Quevedo; R. Kallosh

REVIEW

de Sitter String Vacua from Supersymmetric D-terms

C.P. Burgess, R. Kallosh, F. Quevedo

High Energy Physics - Theory · Submitted 18 Sep 2003 · 26 references

Pith's verdict: A real and simple mechanism — D7 flux as a field-dependent FI D-term replacing KKLT's anti-D3 — but the paper is a sketch, and the authors know exactly where the load-bearing gap is.

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CitationC.P. Burgess, F. Quevedo, R. Kallosh. "de Sitter String Vacua from Supersymmetric D-terms." arXiv:hep-th/0309187 (2003). https://pith.science/paper/HWNHTMXF

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Editor's note

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Short version: the idea is genuine and worth knowing. KKLT lifts the AdS minimum with an anti-D3, which breaks supersymmetry explicitly and costs you control over the low-energy action. This paper replaces that step with magnetic flux on a D7, which generates a field-dependent Fayet-Iliopoulos D-term. The uplift then sits inside a manifestly supersymmetric 4D action. That is the whole contribution, and it is a clean one. The scaling argument is the good part: VD goes as E^2/X^3, VF carries the same overall 1/X^3, so the D-term is just a positive constant shifted inside the bracket of eq. (2.8). That is exactly what an uplift needs to be, and it is correct. The B∧F to FI-term argument via K(T+T*+cV) is standard machinery, correctly applied, not oversold. The heterotic section is a plausible translation with S and T swapped, and it is the part that generalizes furthest, since there is no anti-D3 analogue there at all. Now the soft spots, which are structural rather than cosmetic. Everything hinges on the charged fields QI sitting at zero so they cannot relax and cancel the flux contribution. The paper says this in §3 and repeats it as the central open question in §5, so credit for honesty, but no model is exhibited. Footnote 8 sharpens it: T shifts under the U(1), so Ae^{-aT} is not gauge invariant and needs compensating charged fields — and those are precisely the fields that can drive VD to zero. The two gaps are one gap. The heterotic extension also leans on ref. [19], listed as to appear, so that leg is not yet load-bearing. One presentational thing worth fixing: eq. (3.3) prints the prefactor as 2πX, but with 4π/g² = X it should be 2π/X. Read literally it gives VD ~ 1/X and kills the mechanism. Almost certainly a typo, but it should be corrected. Who should read it: anyone working on moduli stabilization or D-term uplifting, and anyone who wants the supersymmetric version of the KKLT uplift on record. It is a proposal, not a construction — no explicit compactification, no numerical range for E, no plot of a dS minimum — and it should be read as such. Yes, send it to referees. The question to put to them is narrow and answerable: does any concrete D7-flux model exist with the right charge signs and QI = 0 at the minimum? I would cite it.

Referee report

Major objections (3)

[Sec. 3, paragraph beginning 'It is important for this argument', and footnote 8] The paper acknowledges that the mechanism requires the charged fields Q_I to sit at zero, and separately notes in footnote 8 that because K = -3 ln(T + T* + cV) makes T shift under the U(1), the nonperturbative superpotential A e^{-aT} is not gauge invariant and must be compensated by other charged fields. These two requirements are not independent, and the interaction between them is the load-bearing question for the central claim: the fields needed to restore gauge invariance of W are precisely fields that can enter V_D and drive it to zero. The manuscript treats the two issues in separate places and never confronts the tension. At minimum the authors should discuss whether the compensating fields can be made heavy or absent in a consistent compactification; a single worked example, even schematic, would settle whether the mechanism has a non-empty domain of validity.
[Sec. 4, Eq. (4.3) and the sentence 'the situation is completely analogous to our previous discussion for the type IIB字符串] The claim that the heterotic case is 'completely analogous' with the roles of S and T interchanged is not established by the equations given. In the type IIB case the crux was that V_D and V_F carry the same 1/X^3 prefactor, so the D-term is a constant shift inside the bracket. In the heterotic case, with K = -ln(S + S*) - 3 ln(T + T*) and W = A e^{-aS}, the S-sector F-term potential scales differently in (S + S*) from V_D in Eq. (4.3), which at Q_I = 0 behaves as (S + S*)^{-5}. The relative scaling that made the type IIB construction work therefore does not obviously survive, and the statement that a dS minimum follows 'completely analogously' needs to be replaced by an explicit comparison of powers. A concrete test: write V_F for the racetrack S-sector explicitly and show the range of Tr q for which the D-term lifts the AdS minimum without removing it.
[Sec. 3, paragraph beginning 'The net result for X is therefore qualitatively the same'] The existence of a de Sitter window is asserted rather than shown: the paper states that 'if E belongs to a range of slightly larger values, then there is a de Sitter minimum' but gives no explicit condition on E, no plot of V(X) analogous to Fig. 1, and no numbers. Since E measures a quantized flux, the window must in addition contain an allowed integer for any given model, which is a nontrivial constraint that is nowhere checked. The algebra is simple enough that a one-line condition on E in terms of W_0, A and a, together with a statement about whether the window is wide compared with the flux spacing, would make the central existence claim checkable rather than qualitative.

Minor objections (8)

[Eq. (3.3)] The prefactor is printed as 2 pi X, but with 4 pi / g_YM^2 = X one has g_YM^2 / 2 = 2 pi / X, and only the latter reproduces V_D = 2 pi E^2 / X^3 quoted in the text and implied by Eq. (3.2). This is presumably a typographical slip, but it should be corrected because the paragraph immediately following, on the relative X-scaling of the Q-dependent terms in V_F and V_D, is sensitive to the power of X and should be re-checked against the corrected prefactor.
[Eq. (3.1) and footnote 2] Footnote 2 records that the anti-brane term was corrected in Ref. [12] to scale as X^{-2}, whereas Eq. (3.1) as printed shows k X^2. The two should be made consistent, and the text should state explicitly which power is being used in the comparison with V_D.
[Sec. 3, paragraph comparing V_D with the anti-brane term] The statement that V_D 'plays the role played by their anti-brane term' with 'the only difference' being the power of X undersells the actual structural point: because V_D carries exactly the same 1/X^3 prefactor as V_F, the uplift is a constant shift inside the bracket, which is cleaner than the anti-brane case rather than merely analogous to it. Stating this as the reason the mechanism works would strengthen the section.
[Sec. 3, paragraph on Chern-Simons couplings] The treatment of the induced D5-brane charge is somewhat loose: 'the orientifold action tends to change the sign of the gauge fields' should be replaced by a precise statement of the orientifold projection and of the condition on the integral of F over the 2-cycle inside the 4-cycle, since a nonvanishing integral is generic for a flux on a D7-brane.
[Sec. 4, Eq. (4.3)] The normalization of the Fayet-Iliopoulos term, Tr q / (48 pi^2) times (S + S*)^{-2}, is quoted without derivation and differs by convention from the standard anomalous-U(1) result of Ref. [24]. A sentence fixing the normalization relative to that reference would help the reader check the subsequent discussion of the size of Tr q.
[Footnote 8] This footnote bears directly on the central claim and should be promoted into the main text of Sec. 3, where the Q_I = 0 assumption is discussed, rather than left as an aside.
[Sec. 5, conclusions] The closing sentence that the results set the existence of de Sitter space in string theory 'on firmer grounds' is stronger than the body of the paper supports, given the model-dependent caveats acknowledged two paragraphs earlier. A more measured phrasing would be appropriate.
[References and typography] There are several typographical slips that should be cleaned up, among them 'Nanonpoulos' in Ref. [8] and 'Seiberg-W itten' in Ref. [25], together with the broken spacing in the running text.

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The paper

The paper claims

De Sitter vacua can be lifted from anti-de Sitter by gauge flux on D7-branes, keeping the 4D action fully supersymmetric.

The reading

The KKLT construction produced the first explicit four-dimensional de Sitter solution in string theory, but its final step — adding an anti-D3-brane — breaks supersymmetry explicitly, and once that happens the low-energy action loses much of its predictive grip. This paper asks whether the same uplift can be done with ingredients already present in the compactification, namely magnetic fluxes of the gauge fields living on D7-branes. The authors argue that such fluxes generate a field-dependent Fayet-Iliopoulos D-term whose potential scales as $V_D = 2π E^2/X^3$ in the Kähler modulus $X$, exactly the scaling of the no-scale F-term potential, so it enters the scalar potential as a constant added inside an existing bracket. The result, if it holds, is a de Sitter minimum obtained from spontaneous supersymmetry breaking in a manifestly supersymmetric 4D supergravity, and the same trick is argued to transfer directly to heterotic vacua with an anomalous $U(1)$ and gaugino condensation.

What carries the argument

The load-bearing object is the field-dependent Fayet-Iliopoulos D-term generated by a $B ∧ F$ Green-Schwarz coupling. Gauge invariance forces the axion $Y$ dual to $B$ to appear only in the combination $∂_μ Y - q A_μ$, and supersymmetry then forces the Kähler potential to depend on $T$ only through $T + T^* + cV$. Expanding the no-scale Kähler potential in the gauge superfield gives $D ∝ E/X$, and the standard $g^2 D^2/2$ potential then scales as $X^{-3}$ — the same power as the no-scale F-term potential, which is why the D-term acts as a constant shift inside the bracket of the F-term potential instead of competing with it at a different order. The flux enters through the D7 Chern-Simons coupling $∫ C ∧ Tr e^{iF/2π}$, which produces the required $B ∧ F$ term when background fluxes are present.

Extended reading notes

Core claim

The paper proposes replacing the anti-D3-brane of KKLT with magnetic flux on a D7-brane. In the no-scale Kähler potential $K = -3 log(T + T^* + cV)$, a flux-induced Fayet-Iliopoulos term gives an auxiliary field $D$ proportional to $E/X$ and hence a potential $V_D = g_{YM}^2 D^2/2 = 2π E^2/X^3$, the same $X^{-3}$ behaviour as the F-term potential $V_F$ of equation (2.8). Because the two terms share that prefactor, the D-term shifts the bracket in $V_F$ by a constant, playing precisely the role the anti-brane plays in KKLT: for $E$ below a threshold the minimum stays anti-de Sitter, for a range of slightly larger $E$ it becomes de Sitter, and beyond a critical value the runaway dominates and the local minimum disappears. The authors stress that the whole construction stays inside a supersymmetric 4D action, with de Sitter arising as a spontaneously broken vacuum rather than through explicit breaking. They then argue the mechanism carries over to heterotic strings, where the dilaton potential from racetrack gaugino condensation can be lifted by a D-term from an anomalous $U(1)$ whose Fayet-Iliopoulos term is fixed by the Green-Schwarz coupling $B ∧ F$.

Load-bearing premise

The uplift only works if the charged matter fields $Q_I$ sit at zero at the minimum, since otherwise they shift to cancel the flux contribution and force $V_D = 0$, leaving the anti-de Sitter vacuum unlifted — and the paper states this requirement without exhibiting a model in which it holds, while a separate footnote concedes that the nonperturbative superpotential $e^{-aT}$ is not yet gauge invariant under the very $U(1)$ supplying the D-term.

Editorial extensions

If this is right

The uplift step of moduli stabilization no longer requires an anti-D3-brane, so the 4D effective theory can be written as ordinary supergravity with F- and D-terms throughout.
The same mechanism is argued to apply to heterotic vacua, where a D-term from an anomalous $U(1)$ can lift the anti-de Sitter dilaton minimum produced by racetrack gaugino condensation, with the roles of $S$ and $T$ interchanged.
Whether a de Sitter minimum exists becomes a question about the size of the flux parameter $E$ (or, in the heterotic case, the anomaly coefficient $Tr q$), with a window between too small and too large.
Any string vacuum with a $B ∧ F$ coupling and an anomalous $U(1)$ — a broad but not exhaustive class — becomes a candidate for this construction.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the mechanism works, the cosmological constant in these vacua is a dial set by quantized flux integers rather than by brane tension, which suggests a discretuum of uplifted minima rather than a single one; the paper does not pursue this.
The construction sits close to hybrid D-term inflation, where the same positive-charge-only field content gives a positive mass squared to the waterfall fields; a de Sitter vacuum of this kind and a D-term inflationary plateau may be two regimes of one model, which the authors mention only in passing.
The paper's own footnote 8 concedes that a simple exponential $e^{-aT}$ is not invariant under the $U(1)$ whose D-term is being used, and that compensating dependence on other fields is 'beyond the scope of the present note'. A reader should treat the gauge-invariant completion of $W_{np}$ as an open item, not a settled one.

Original abstract

We propose a new mechanism for obtaining de Sitter vacua in type IIB string theory compactified on (orientifolded) Calabi-Yau manifolds similar to those recently studied by Kachru, Kallosh, Linde and Trivedi (KKLT). dS vacuum appears in KKLT model after uplifting an AdS vacuum by adding an anti-D3-brane, which explicitly breaks supersymmetry. We accomplish the same goal by adding fluxes of gauge fields within the D7-branes, which induce a D-term potential in the effective 4D action. In this way we obtain dS space as a spontaneously broken vacuum from a purely supersymmetric 4D action. We argue that our approach can be directly extended to heterotic string vacua, with the dilaton potential obtained from a combination of gaugino condensation and the D-terms generated by anomalous U(1) gauge groups.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,806 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.96 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We propose a new mechanism for obtaining de Sitter vacua in type IIB string theory compactified on (orientifolded) Calabi-Yau manifolds similar to those recently studied by Kachru, Kallosh, Linde and Trivedi (KKLT). dS vacuum appears in KKLT model after uplifting an AdS vacuum by adding an anti-D3-brane, which explicitly breaks supersymmetry. We accomplish the same goal by adding fluxes of gauge fields within the D7-branes, which induce a D-term potential in the effective 4D action. In this way we obtain dS space as a spontaneously broken vacuum from a purely supersymmetric 4D action. We argue that our approach can be directly extended to heterotic string vacua, with the dilaton potential obtained from a combination of gaugino condensation and the D-terms generated by anomalous U(1) gauge groups.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We propose a new mechanism for obtaining de Sitter vacua in type IIB string theory compactified on (orientifolded) Calabi-Yau manifolds similar to those recently studied by Kachru, Kallosh, Linde and Trivedi (KKLT). dS vacuum appears in KKLT model after uplifting an AdS vacuum by adding an anti-D3-brane, which explicitly breaks supersymmetry.	background 0.92	0.15	0.08	asserted 0.92
s1	We accomplish the same goal by adding fluxes of gauge fields within the D7-branes, which induce a D-term potential in the effective 4D action.	method 0.82	0.88	0.16	asserted 1.00
s2	In this way we obtain dS space as a spontaneously broken vacuum from a purely supersymmetric 4D action.	result 0.84	0.89	0.75	asserted 1.00
s3	We argue that our approach can be directly extended to heterotic string vacua, with the dilaton potential obtained from a combination of gaugino condensation and the D-terms generated by anomalous U(1) gauge groups.	future work 0.77	0.49	0.11	hedged possibility 0.86

What kind of paper the classifier reports this is: theoretical result 0.84 · evidence from argument 0.55.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
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references and citing sentences
relations to other papers

levels run

P abstract

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures

**Figure 1.** The scalar potential considered in [1] with a de Sitter minimum. We will depart from the KKLT proposal and choose not to introduce anti-D3- branes, and instead consider the possibility of turning on non-trivial fluxes for the gauge fields living on the D7 branes. From the linear D7 action, these fluxes will 5

Figures reproduced from arXiv:hep-th/0309187 by the authors.

References

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Soft Supersymmetry Breaking in KKLT Flux Compactification
hep-th 2005-03 conditional novelty 7.0 of 10

In KKLT flux compactification with all moduli stabilized, anomaly mediation is always comparable in size to modulus mediation, so the soft supersymmetry-breaking terms are a fixed mixture of the two rather than either...
Landscape, the Scale of SUSY Breaking, and Inflation
hep-th 2004-11 conditional novelty 7.0 of 10

In the simplest KKLT model the inflationary Hubble scale is bounded by the gravitino mass, but a racetrack superpotential with a supersymmetric Minkowski minimum decouples the two scales.
Racetrack Inflation
hep-th 2004-06 conditional novelty 7.0 of 10

A modified racetrack superpotential with KKLT volume stabilization yields a saddle point between two degenerate minima flat enough for eternal topological inflation, with the Kähler-modulus axion as the inflaton.
Building a Better Racetrack
hep-th 2004-04 conditional novelty 7.0 of 10

Explicit Calabi-Yau orientifold compactifications are exhibited in which D3-instanton and gaugino-condensation effects stabilize every Kähler modulus, together with a no-go argument that rules out the one-modulus case.
Tetra-quadric CY Threefold and Assisted Fibre Inflation
hep-th 2026-08 conditional novelty 6.0 of 10

Three Kähler moduli on a tetra-quadric CY orientifold collectively drive assisted fibre inflation with individual shifts near 2.2 M_p instead of the effective 5.7 M_p.
On Calabi-Yau Threefolds For Unified LVS Inflation
hep-th 2026-06 unverdicted novelty 6.0 of 10

A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.
Fuzzy Dark Matter Candidates from String Theory
hep-th 2021-10 conditional novelty 6.0 of 10

In type IIB flux compactifications only C4 volume axions, C2 axions and thraxions can supply a large fuzzy dark matter fraction, and only by mildly violating the Sf < M_P bound.
Gaugino condensation and small uplifts in KKLT
hep-th 2019-02 conditional novelty 6.0 of 10

KKLT's ten-dimensional tadpole is canceled by a non-local restoring-force term once supersymmetry breaks, and geometrically consistent warped uplifts are hard to engineer in generic Calabi-Yau compactifications.
Weakly Coupled de Sitter Vacua with Fluxes and the Swampland
hep-th 2018-11 conditional novelty 6.0 of 10

In classical type IIA flux compactifications with O6-planes, D6-branes and KK monopoles, de Sitter vacua are ruled out at parametrically large volume and/or parametrically small string coupling, even with fluxes unbou...
Primordial Black Holes from String Inflation
hep-th 2018-03 conditional novelty 6.0 of 10

A type IIB fibre inflation model with a tuned near-inflection point produces a power-spectrum spike large enough to seed primordial black holes at 10^-14 solar masses, potentially accounting for all dark matter.
Towards de Sitter from 10D
hep-th 2017-07 conditional novelty 6.0 of 10

The single-condensate KKLT vacuum cannot be uplifted to de Sitter because the 10D on-shell potential stays negative under the anti-brane backreaction, while racetrack stabilization can evade this.
Moduli Vacuum Misalignment and Precise Predictions in String Inflation
hep-th 2016-04 conditional novelty 6.0 of 10

In Kahler moduli inflation, the volume modulus is displaced by roughly 0.1 to 1 Planck units during inflation, and its late decay lowers the required number of e-foldings from about 50 to about 45, shifting the spectr...
String Theory Realizations of the Nilpotent Goldstino
hep-th 2015-07 accept novelty 6.0 of 10

A single anti-D3-brane on an O3-plane in a warped IIB throat has exactly one massless worldvolume fermion, matching the goldstino of a nilpotent chiral superfield.
Cosmology with Nilpotent Superfields
hep-th 2014-08 conditional novelty 6.0 of 10

Imposing S squared equals zero on the goldstino chiral multiplet removes the sgoldstino scalar from a wide class of supergravity inflation and KKLT uplifting models, simplifying them and tying them to Volkov-Akulov an...
Building an explicit de Sitter
hep-th 2012-08 conditional novelty 6.0 of 10

An explicit type IIB compactification on CP^4_{11169}[18] is constructed in which all geometric moduli are stabilized and the Kähler sector lands in a metastable de Sitter vacuum at volume about 52.
De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects
hep-th 2012-03 conditional novelty 6.0 of 10

Dilaton-dependent non-perturbative effects at singularities give a positive, tunable contribution to the scalar potential that can uplift the LARGE Volume Scenario to de Sitter space within a supersymmetric effective action.
Moduli Stabilisation for Chiral Global Models
hep-th 2011-10 conditional novelty 6.0 of 10

An explicit Type IIB Calabi-Yau orientifold with four Kähler moduli is constructed in which all moduli are stabilised inside the Kähler cone while a chiral SU(5)-like brane sector is retained.
Testing String Vacua in the Lab: From a Hidden CMB to Dark Forces in Flux Compactifications
hep-th 2011-03 conditional novelty 6.0 of 10

Anisotropic type IIB flux compactifications can produce a GeV-scale hidden photon with mixing near 10^-6 for an intermediate string scale, and with fine-tuning a meV-scale one, opening string vacua to beam-dump and li...
Minimal Simple de Sitter Solutions
hep-th 2008-10 conditional novelty 6.0 of 10

A four-dimensional de Sitter vacuum in type IIA string theory requires only O6-planes, a nonzero Romans mass, form fluxes, and negative internal curvature, and an explicit two-modulus example exists on a compact hyper...
Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
hep-th 2007-11 conditional novelty 6.0 of 10

A chiral D-brane sector cannot be added after moduli are stabilised, because it induces a D-term potential and charged instanton zero modes; only combined F- and D-term stabilisation works, demonstrated on one swiss-c...
Axion Inflation in Type II String Theory
hep-th 2007-10 conditional novelty 6.0 of 10

Axions from vanishing two-cycles in type IIB compactifications can have near-Planckian decay constants after string world-sheet corrections, potentially enabling multi-field inflation with tensor-to-scalar ratio up to 0.14.
Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications
hep-th 2007-08 accept novelty 6.0 of 10

The leading string-loop correction to the Kähler potential cancels from the scalar potential at leading order whenever the correction is homogeneous of degree -2 in two-cycle volumes, an 'extended no-scale structure' ...
Jumping Through Loops: On Soft Terms from Large Volume Compactifications
hep-th 2007-04 conditional novelty 6.0 of 10

String loop corrections to the Kähler potential leave the large volume scenario's minimum and its gaugino mass prediction intact, with corrections appearing only at subleading order in the volume expansion.
Axionic Inflation from Large Volume Flux Compactifications
hep-th 2006-03 conditional novelty 6.0 of 10

A single-field axionic inflation model in large volume flux compactifications yields a red spectrum compatible with WMAP3 when the eta parameter is set by the gauge group size.
On supersymmetric Minkowski vacua in IIB orientifolds
hep-th 2006-03 conditional novelty 6.0 of 10

Under an assumed racetrack superpotential, toroidal orbifold models with one or two complex structure moduli admit supersymmetric Minkowski vacua, and models without complex structure moduli can be stabilized by addin...
Inflating in a Better Racetrack
hep-th 2006-03 conditional novelty 6.0 of 10

An explicit type IIB compactification with two Kahler moduli can support racetrack inflation driven by a linear combination of axions, matching the COBE spectrum with n_s approximately 0.95.
de Sitter String Vacua from Perturbative Kahler Corrections and Consistent D-terms
hep-th 2006-02 conditional novelty 6.0 of 10

Perturbative Kähler corrections stabilize the volume modulus while preserving the shift symmetry that a D7-brane D-term can gauge, uplifting the AdS minimum to a metastable de Sitter vacuum.
Locally stable non-supersymmetric Minkowski vacua in supergravity
hep-th 2006-02 accept novelty 6.0 of 10

In N=1 supergravity with chiral fields, a locally stable nonsupersymmetric Minkowski vacuum requires the Kähler curvature contracted with four Goldstino derivatives to stay below a fixed value, which for separable Käh...
On the Moduli Space of the Cascading SU(M+p)xSU(p) Gauge Theory
hep-th 2005-11 accept novelty 6.0 of 10

The cascading conifold gauge theory's moduli space splits into branches labelled by an R-symmetry integer and a cascade step, each branch a symmetric product of deformed conifolds whose deformation is set by gluino co...
Kahler Moduli Inflation
hep-th 2005-09 conditional novelty 6.0 of 10

A blow-up Kähler modulus in large-volume type IIB flux compactifications supplies a naturally flat inflaton direction, giving n_s = 1 - 2/N_e between 0.960 and 0.967 with a tensor fraction below 10^-10.
Stability of flux compactifications and the pattern of supersymmetry breaking
hep-th 2004-11 conditional novelty 6.0 of 10

Keeping the dilaton in the effective supergravity shows the KKLT decoupling procedure fails for Type IIB D3/7 models without complex structure moduli, and stability requires the dilaton effective superpotential to sat...
The effective action of D7-branes in N=1 Calabi-Yau orientifolds
hep-th 2004-09 accept novelty 6.0 of 10

A generic D7-brane on a Calabi-Yau orientifold yields an N=1 effective action whose Kähler potential, gauge couplings, and D-term are derived from the brane's Dirac-Born-Infeld and Chern-Simons actions.
Loop Corrections to Volume Moduli and Inflation in String Theory
hep-th 2004-04 conditional novelty 6.0 of 10

Open-string one-loop corrections to D-brane gauge kinetic functions restore holomorphy in the brane-modified volume modulus and introduce explicit inflaton dependence in the gaugino-condensation superpotential, offeri...
Penumbral Inflation from Calabi-Yau Boundaries
hep-ph 2026-07 conditional novelty 5.0 of 10

A string-theoretic construction maps Calabi-Yau boundary data into a logarithmic plateau inflation model, yielding the leading tensor-to-scalar prediction r = 4d/(q²N²) with Hodge degree d.
Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation
hep-th 2025-11 reject novelty 5.0 of 10

Adding a base-modulus redefinition to fibre inflation in perturbative LVS shifts (ns, r) into ACT-allowed territory and yields an axion quintessence companion.
Warming up the Fibres
hep-th 2025-05 conditional novelty 5.0 of 10

All four fibre inflation potentials are claimed to agree with CMB observations under warm inflation, and strong dissipation can shrink the inflaton field excursion below the Planck scale.
Three-Field String Inflation with Perturbative Corrections: Dynamics and Implications
hep-th 2025-02 conditional novelty 5.0 of 10

A three-field inflation model is constructed in a perturbative large-volume string setup where loop and higher-derivative corrections stabilize the moduli and produce a two-stage inflationary trajectory.
The dS swampland conjecture and the Higgs potential
hep-th 2018-07 accept novelty 5.0 of 10

The de Sitter swampland conjecture |grad V|/V >= O(1) fails by roughly 50 orders of magnitude in the Standard Model plus a decoupled quintessence scalar, because the Higgs potential has a maximum at zero field value.
Perturbative moduli stabilisation in type IIB/F-theory framework
hep-th 2018-03 conditional novelty 5.0 of 10

All Kähler moduli of a type IIB Calabi-Yau compactification can be stabilized at a de Sitter minimum using logarithmic string-loop corrections and D-terms from magnetized D7-branes, without non-perturbative effects.
de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
hep-th 2014-02 conditional novelty 5.0 of 10

Classical type IIB supergravity with fluxes, D-branes, anti-branes, and orientifold planes cannot yield four-dimensional de Sitter space, but higher-curvature corrections could if their integrated stress-energy satisf...
Dark Radiation and Dark Matter in Large Volume Compactifications
hep-ph 2012-08 conditional novelty 5.0 of 10

The overall volume modulus in LARGE volume compactifications decays into ultralight axions at a branching fraction of order 0.1, which can account for the dark radiation suggested by recent cosmological data.
Natural Quintessence in String Theory
hep-th 2012-03 conditional novelty 5.0 of 10

A fibre modulus in an anisotropic type IIB compactification can act as quintessence, with a radiatively stable mass near 10^-33 eV and sub-Planckian couplings to Standard Model matter.
A sufficient condition for de Sitter vacua in type IIB string theory
hep-th 2011-07 conditional novelty 5.0 of 10

A single algebraic inequality on flux and topological data is sufficient for a metastable de Sitter vacuum in type IIB Kähler-uplifted flux compactifications.
Chaotic inflation and supersymmetry breaking
hep-th 2011-06 conditional novelty 5.0 of 10

Chaotic inflation with an arbitrary potential can be combined with KL-model supersymmetry breaking without destabilizing the volume modulus, and the resulting suppressed reheating avoids the moduli and gravitino problems.
Naturally Light Hidden Photons in LARGE Volume String Compactifications
hep-ph 2009-09 conditional novelty 5.0 of 10

Hidden photons in LARGE volume string compactifications acquire kinetic mixing of order g_a g_b/(16 pi^2) and Stueckelberg or Higgs masses spanning meV to GeV, landing in regions that near-future hidden photon searche...
de Sitter vacua in no-scale supergravities and Calabi-Yau string models
hep-th 2008-04 conditional novelty 5.0 of 10

Stable de Sitter vacua from string moduli require a Kähler-geometry quantity σ to be positive, and large-volume Calabi-Yau compactifications often cannot satisfy this, with K3 fibrations always failing.
de Sitter String Vacua from Kahler Uplifting
hep-th 2006-11 conditional novelty 5.0 of 10

The leading α'^3 correction to the Kähler potential, together with gaugino condensation and flux tuning, stabilizes the volume modulus, dilaton, and complex structure moduli in a metastable de Sitter vacuum at volume ...
Gaugino Condensates and D-terms from D7-branes
hep-th 2006-09 accept novelty 5.0 of 10

The flux-induced charge of a Kähler modulus under an anomalous U(1) exactly matches the number of chiral bifundamentals from the index theorem, making the Affleck-Dine-Seiberg superpotential gauge invariant.
Towards a Realistic Type IIA T^6/Z_4 Orientifold Model with Background Fluxes, Part 1: Moduli Stabilization
hep-th 2006-04 conditional novelty 5.0 of 10

For the T^6/Z4 orientifold with background fluxes, the authors find supersymmetric and non-supersymmetric AdS vacua in which all geometric moduli are stabilized at large volume and weak coupling, with one axion combin...
Kaehler Corrections for the Volume Modulus of Flux Compactifications
hep-th 2005-07 conditional novelty 5.0 of 10

One-loop corrections to the volume modulus Kähler potential in type IIB flux compactifications scale as 1/(T+T̄)², giving a Casimir-like potential |W|²/R⁸ that is subdominant to α' corrections but relevant when the Eu...
Phenomenology of Mixed Modulus-Anomaly Mediation in Fluxed String Compactifications and Brane Models
hep-ph 2005-04 conditional novelty 5.0 of 10

Mixed modulus-anomaly mediation with ratio alpha is shown to mimic pure modulus mediation at a mirage messenger scale (m3/2/MPl)^(alpha/2) MGUT, giving a distinctive TeV-scale superpartner spectrum, most sharply at alpha = 2.
Flavor from Consistency: Qualified-Axion, Anomaly Cancellation, and Emergent Unification
hep-ph 2025-11 reject novelty 4.0 of 10

The paper presents a supergravity model where anomaly cancellation and U(1)_X charges generate quark/lepton hierarchies and a flavored QCD axion, but the charge assignments and axion scale are fitted rather than derived.
Assisted Fibre Inflation in Perturbative LVS
hep-th 2025-06 unverdicted novelty 4.0 of 10

Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).
De Sitter vs Quintessence in String Theory
hep-th 2018-08 conditional novelty 4.0 of 10

De Sitter vacua from type IIB flux compactifications are argued to be under better calculational control than string quintessence models, which require extra fine-tuning and generically couple to Standard Model fields.

See all 68 Pith citations

How the literature uses it

119 arXiv papers cite this in 152 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 97 sentences without a confident label

Contests it 3 papers

(This idea was put forward in [ref] , but needed some corrections [ref] .

D-terms on the resolved conifold · Motivation · contest 0.82
(This idea was put forward in [ref] , but needed some corrections [ref] .

Towards New Classes of Flux Compactifications · GKP Flux Compactification · contest 0.84
This is in contrast with proposals for D-term uplift in which the needed substantial warping was not explicitly achieved and may require topological conditions on the internal manifold difficult to satisfy [ref] .

De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects · `Tuning' of the cosmological constant · contest 0.72

Builds on it 1 paper

We shall first examine the isotropic case following [ref] and then we shall extend these results also to the anisotropic one.

Testing String Vacua in the Lab: From a Hidden CMB to Dark Forces in Flux Compactifications · Decompactification problem · 0.89

Compares with it 1 paper

The effective potential with respect to the field $ρ$ in this model coincides with the KKLT potential [ref] .

Inflationary Cosmology · Brane inflation · 0.85

Cites it as support 1 paper

This helps, and in fact there exist no-scale models with a single chiral multiplet and a vector multiplet that admit metastable dS vacua [ref] .

Constructing de Sitter vacua in no-scale string models without uplifting · Conclusions · 0.97

Cites it as background 44 papers

The vacuum energy of such fully stabilized compactifications with SUSY breaking can be both positive and negative, leading to a description of de Sitter (dS) space as metastable vacua of compactified string theory [ref] .

Building an explicit de Sitter · Introduction & Motivation · 0.83
This framework has led to several proposals for obtaining accelerated expansion from a de Sitter (dS) vacuum, including anti-branes in warped throats [ref] , D-terms [ref] , T-branes [ref] , F-terms of the complex structure moduli [ref] , non-perturbative effects at singularities [ref] , and $α'$ contributions [ref] .

From Inflation to Quintessence: a History of the Universe in String Theory · Introduction · 0.92
* When the stabilization mechanism does not respect SUSY, D-terms can provide a positive contribution to the potential if the corresponding D7-brane is magnetically charged under an anomalous $U(1)$ [ref] .

De Sitter Vacua from a D-term Generated Racetrack Uplift · Introduction · 0.86

Discussion

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