Superpotentials in IIA compactifications with general fluxes

Costas Kounnas; Fabio Zwirner; Jean-Pierre Derendinger; P. Marios Petropoulos

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Superpotentials in IIA compactifications with general fluxes

Jean-Pierre Derendinger, Costas Kounnas, P. Marios Petropoulos, Fabio Zwirner

High Energy Physics - Theory · Submitted 30 Nov 2004 · 24 references

Pith's verdict: The IIA flux dictionary is the durable contribution; the AdS4 model is a four-dimensional critical point, not yet a checked string background, and the authors say so themselves.

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CitationCostas Kounnas, Fabio Zwirner, Jean-Pierre Derendinger, P. Marios Petropoulos. "Superpotentials in IIA compactifications with general fluxes." arXiv:hep-th/0411276 (2004). https://pith.science/paper/QEDMWFAI

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Worth your time, mainly for the dictionary rather than the headline example. The paper's real product is Eqs. (49)–(60): a systematic map from the IIA fluxes (H3, omega3, F0, F2, F4, F6) to N=4 gauging structure constants and thence to monomials in the N=1 superpotential, with the Jacobi/cyclicity conditions (23), (59) written down and solved. That table is what people will actually use, and it is done carefully. The derivation of K (18) and W (19) from the N=4 gravitino mass is clean algebra, and the truncation of the Poincare constraints via (16)–(17) is a nice piece of bookkeeping that others have since copied. The heterotic section is a good sanity check on the method and reads as genuinely useful pedagogy rather than filler. The no-scale example (62)–(65) is a legitimate new IIA model, and the E3 example (74)–(75) correctly reproduces the known NS5 near-horizon behaviour, which is reassuring about the whole machinery. On the stress-test concern: it lands, but it is not a hidden error. The authors state in Sec. 4.7 that checking the D6/O6 content, the D=10 equations and tadpole cancellation 'goes beyond the scope of the present paper' and defer it to [14]. So the AdS4 solution (76)–(79) is honestly a critical point of the 4D N=1 potential with all seven moduli frozen, and the abstract's 'admits a supersymmetric AdS4 vacuum' should be read at that level. Whether the tuned ratio 6A^2 = 10B^2 survives a tadpole analysis is the open question, and it is the right question to ask of the companion paper. Two smaller things. The flux-to-monomial matching is done 'by inspection' of the dimensionally reduced potential rather than derived term by term; the results are checkable and I believe them, but it is a soft step in an otherwise tight paper. And the integer-flux awkwardness around (78)–(80) is handled by rescaling moduli by sqrt(3/5), which is fine for the 4D potential but does shift what the vevs mean geometrically. Both are minor. The plane-interchange assumption is a real restriction on generality, acknowledged and deferred. Who should read it: anyone building IIA flux models or wanting the flux/gauging correspondence in one place. Send it to referees; the 4D results stand on their own and the deferred D=10 work is clearly flagged.

Referee report

Major objections (1)

[Sec. 4.7, Sec. 5.3, Eqs. (76)–(79), abstract:s3] The AdS4 example is established as a supersymmetric critical point of the four-dimensional N=1 potential, but the D=10 Bianchi identities and the D6/O6 tadpole cancellation conditions for the chosen flux combination are not checked. The authors acknowledge this explicitly in Sec. 4.7, where they state that examining the brane and orientifold content needed to satisfy the D=10 equations 'goes beyond the scope of the present paper' and defer it to ref. [14]. This is a scoping issue rather than a technical error, and it is easily fixed: the abstract's phrase 'admits a supersymmetric AdS4 vacuum with all seven main moduli stabilized' should be qualified to make clear that the statement holds at the level of the four-dimensional effective theory, not as a verified ten-dimensional string background.

Minor objections (6)

[Eqs. (65) and (70)] The u-dependence of the gravitino mass squared appears inverted relative to e^K ∝ 1/(s t1 t2 t3 u1 u2 u3). In Eq. (65) the product u1 u2 u3 sits in the numerator, whereas the explicit computation gives |m_{3/2}|^2 ∝ (9A^2 B + C^2 D)/(u1 u2 u3); similarly, Eq. (70) has s t1 t2 t3 u1 u2 u3 in the numerator, whereas Eq. (73) and Eq. (75) correctly place the product in the denominator. These should be checked and corrected for consistency.
[Eq. (81)] The rescaled superpotential in Eq. (81) is presented as the integer-flux version of Eq. (79), but its supersymmetric minimum sits at S = T_A = U_A = sqrt(5/3), not at S = T_A = U_A = 1. The text should state the location of the minimum explicitly, since the surrounding discussion ('with S = T_A = U_A = 1 at the minimum') invites the reader to assume it remains at one.
[Eq. (46)] The expression for O3 reads 'u3 s u1 u3', which should presumably be u3 s/(u1 u2) to match the pattern of O1 and O2 and the identification in Eq. (47).
[Eqs. (56) and (57)] The list in Eq. (56) gives the invariant four-form components as F5678, F78910, F91056, but the identification in Eq. (57) writes the third component as F56910. The index ordering should be made uniform.
[Sec. 5.3] The statement that this is 'the only known example of a complete stabilization of the moduli' in IIA with fundamental fluxes is a strong priority claim. Given the active IIA flux literature cited in refs. [11] and [12], the claim should either be softened or supported with a more explicit comparison to the existing constructions.
[Sec. 2, Eqs. (13)–(19)] The step from the N=4 gravitino mass (Eq. 13) to the N=1 superpotential (Eq. 19) is described as 'separating the holomorphic part' using m_{3/2} = e^{K/2} W. A sentence explaining why this factorization is unambiguous once the Kähler potential is fixed by the sigma-model truncation would help the reader.

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The paper

The paper claims

A single gauged-supergravity principle organizes every type IIA flux, and one flux choice freezes all seven moduli in a supersymmetric anti-de Sitter vacuum.

The reading

The paper asks whether the whole zoo of fluxes available to type IIA string theory on a $T^6/(Z_2^2)$ orientifold with D6-branes can be organized by one principle, and answers with the gauged $N=4$ supergravity hiding underneath. Because the scalar geometry of $N=4$ supergravity in four dimensions is fixed once the number of vector multiplets is fixed, the authors can read off the $N=1$ Kähler potential and superpotential of the seven main moduli from a $Z_2^2$ truncation instead of from a ten-dimensional computation. Each allowed flux — the NS-NS three-form, the geometric spin-connection flux, and the Ramond-Ramond zero-, two-, four- and six-form fluxes — is then matched to a structure constant and a duality phase of the gauging, and hence to a specific monomial in $S$, $T_A$, $U_A$. The payoff is a working dictionary plus explicit examples: no-scale models with four moduli stabilized and three flat directions, positive runaway potentials of cosmological type, and a flux combination whose $N=1$ scalar potential has a supersymmetric AdS$_4$ minimum at $S=T_A=U_A=1$ where all seven moduli are pinned.

What carries the argument

The load-bearing device is the relation between the $N=4$ gravitino mass term and the $N=1$ superpotential. In $N=4$ supergravity the gravitino mass is built from the gauging structure constants $f_{RST}$, the duality phases $delta_R$, and the constrained scalar fields $phi^R{}_A$ of the $SO(6,n)/[SO(6)times SO(n)]$ coset; after the $Z_2^2$ truncation it reads $m_{3/2}=-4/3, phi^*(R) f_{RST} epsilon^{ABC} phi^R{}_A phi^S{}_B phi^T{}_C$. Solving the truncated Poincaré constraints for the four scalars of each plane, $sigma_{1A},sigma_{2A},rho_{1A},rho_{2A}$, in terms of $T_A,U_A$ gives a fixed correspondence between the twelve $SO(6,6)$ directions and the monomials $1$, $iT_A$, $T_AU_A$, $iU_A$, each divided by $sqrt((T_A+bar T_A)(U_A+bar U_A))$. Extracting the holomorphic factor $e^{K/2}$ from $m_{3/2}$ then yields both $K$ and $W$. The assumption of plane-interchange symmetry reduces the $4^3=64$ structure constants to 20 symmetric coefficients $Lambda^{a_1b_2c_3}$, and the Jacobi identities collapse to a cyclicity condition $eta^{df}Lambda_{abd}Lambda_{cfe}=eta^{df}Lambda_{bcd}Lambda_{afe}=eta^{df}Lambda_{cad}Lambda_{bfe}$, which is what makes the flux constraints in the examples checkable by hand.

Extended reading notes

Core claim

The central claim is that the $N=1$, $D=4$ effective theory of the seven main moduli of type IIA orientifolds with general fluxes is a consistent truncation of a gauged $N=4$ supergravity, and that this fixes both the Kähler potential and the superpotential without solving the ten-dimensional equations. Concretely, the authors obtain $K=-1/(S+bar S)-sum_A 1/(T_A+bar T_A)(U_A+bar U_A)$ and a superpotential that is a polynomial of degree at most one in each modulus, with each monomial traced to a flux: $H_3$ gives $iS$ and $i(U_1+U_2+U_3)$; geometric flux gives $S(T_1+T_2+T_3)$, $T_1U_1+T_2U_2+T_3U_3$ and the mixed $T_AU_B$ sum; $F_0$ gives $iT_1T_2T_3$; $F_2$ gives $T_1T_2+T_2T_3+T_3T_1$; $F_4$ gives $i(T_1+T_2+T_3)$; $F_6$ gives a constant. Consistency of the underlying gauging becomes a short list of Jacobi identities on the flux coefficients, so an admissible flux combination is one satisfying those identities. The headline example switches on all of $H_3$, $omega_3$, $F_0$, $F_2$, $F_4$, $F_6$ with coefficients related by $6A^2=10B^2$, producing a superpotential whose auxiliary-field equations are solved at $S=T_A=U_A=1$ with $W=4(3A+iB)$ and $V=-3m_{3/2}^2<0$, i.e. a stable supersymmetric AdS$_4$ vacuum with no modulus left flat.

Load-bearing premise

The four-dimensional gauged $N=4$ truncation is assumed to faithfully capture the ten-dimensional string dynamics, which requires that each flux combination can be completed to a consistent $D=10$ background with the D6-branes and O6-planes needed to satisfy the Bianchi identities and cancel tadpoles — a check the paper explicitly says goes beyond its scope in Section 4.7 and defers to a companion paper.

Editorial extensions

If this is right

Any flux combination satisfying the cyclicity/Jacobi conditions can be read immediately as an $N=1$ superpotential, so moduli stabilization can be studied in the four-dimensional effective theory rather than by solving ten-dimensional equations of motion and Bianchi identities.
Type IIA is strictly richer than the heterotic case for stabilization: the presence of Ramond-Ramond fluxes, in particular $F_6$ and $F_0$, introduces $S$-dependence that heterotic $H_3$ and $omega_3$ fluxes cannot generate, which is what makes full seven-modulus stabilization possible.
The no-scale examples with $W=A[S(T_1+T_2+T_3)+B(T_1T_2+T_2T_3+T_3T_1)]+iC[S+DT_1T_2T_3]$ stabilize $S$ and the $T_A$ at $langle Srangle=BT$, $langle T_Arangle=T=sqrt(B/D)$ with vanishing potential, leaving the $U_A$ as flat directions and supersymmetry broken in that sector with a computable gravitino mass.
Single-monomial flux choices give $V=4e^K|W|^2>0$ runaway potentials, and the $F_0,F_2,F_4,F_6$ combination $W=A(1+T_1T_2+T_2T_3+T_3T_1)+iB(T_1+T_2+T_3+T_1T_2T_3)$ gauges $SO(1,3)$ and yields a positive-definite runaway with three moduli fixed, a candidate setting for time-dependent cosmological solutions.
The $E_3$ example $W=-omega_3(T_1U_1+T_2U_2+T_3U_3)+F_6$ reproduces, at the supergravity level, the near-horizon NS five-brane plus linear dilaton solution with $V=-omega_3^3/(16F_6 s)$, showing that the gauging algebra remains visible in the ten-dimensional background.

Reading between the lines

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

If the dictionary holds generally, the search for de Sitter or inflationary flux vacua in IIA becomes a finite algebraic problem: enumerate symmetric $Lambda^{abc}$ obeying the cyclicity condition, compute the auxiliary fields, and check signs. That reframes model building as a classification rather than a search.
The construction suggests a mirror-style bookkeeping in which geometric $omega_3$ flux on the IIA side plays the role that $H_3$ plays on the IIB side, with $T_A$ and $U_A$ exchanging roles; the paper gestures at this but does not develop it, and it would be a natural target for a follow-up.
The AdS$_4$ vacuum at $S=T_A=U_A=1$ has $W=4(3A+iB)$ and hence $V=-3m_{3/2}^2$, so the cosmological constant is tied directly to the gravitino mass; a reader could use this relation as a consistency check on any proposed embedding of the model into a fully back-reacted ten-dimensional solution.
Because the truncation keeps only the seven moduli and discards matter multiplets $Z_{IA}$, the dictionary as stated is silent about open-string moduli from D6-brane positions and Wilson lines; whether the same gauging logic extends to those fields is left open and is where the construction is most likely to need modification.

Original abstract

We derive the effective N=1, D=4 supergravity for the seven main moduli of type IIA orientifolds with D6 branes, compactified on T^6/(Z_2xZ_2) in the presence of general fluxes. We illustrate and apply a general method that relates the N=1 effective Kahler potential and superpotential to a consistent truncation of gauged N=4 supergravity. We identify the correspondence between various admissible fluxes, N=4 gaugings and N=1 superpotential terms. We construct explicit examples with different features: in particular, new IIA no-scale models and a model which admits a supersymmetric AdS_4 vacuum with all seven main moduli stabilized.

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We derive the effective N=1, D=4 supergravity for the seven main moduli of type IIA orientifolds with D6 branes, compactified on T^6/(Z_2xZ_2) in the presence of general fluxes. We illustrate and apply a general method that relates the N=1 effective Kahler potential and superpotential to a consistent truncation of gauged N=4 supergravity. We identify the correspondence between various admissible fluxes, N=4 gaugings and N=1 superpotential terms. We construct explicit examples with different features: in particular, new IIA no-scale models and a model which admits a supersymmetric AdS_4 vacuum with all seven main moduli stabilized.

background contribution method result interpretation main claim

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s1	We illustrate and apply a general method that relates the N=1 effective Kahler potential and superpotential to a consistent truncation of gauged N=4 supergravity.	method 0.87	0.93	0.15	asserted 1.00
s2	We identify the correspondence between various admissible fluxes, N=4 gaugings and N=1 superpotential terms.	contribution 0.58	0.93	0.18	asserted 1.00
s3	We construct explicit examples with different features: in particular, new IIA no-scale models and a model which admits a supersymmetric AdS_4 vacuum with all seven main moduli stabilized.	result 0.62	0.96	0.40	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 1.00.

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References

Works cited (24)

[14]

J.-P. Derendinger, C. Kounnas, M. Petropoulos and F. Zwirner , to appear

View on Pith
[1]

J. Polchinski, String theory (Vol. 2: Superstring theory and beyond), Cambridge Uni- versity Press, 1998

View on Pith 1998
[2]

A. Das, Phys. Rev. D 15 (1977) 2805; E. Cremmer and J. Scherk, Nucl. Phys. B 127 (1977) 259; E. Cremmer, J. Scherk and S. Ferrara, Phys. Lett. B 74 (1978) 61

View on Pith 1977
[3]

A. H. Chamseddine, Nucl. Phys. B 185 (1981) 403

View on Pith 1981
[4]

J. P. Derendinger and S. Ferrara, Lectures given at Spring School of Supergravity and Supersymmetry, Trieste, Italy, Apr 4-14, 1984 , CERN-TH-3903

View on Pith 1984
[5]

M. de Roo, Nucl. Phys. B 255 (1985) 515 and Phys. Lett. B 156 (1985) 331; E. Bergshoeﬀ, I. G. Koh and E. Sezgin, Phys. Lett. B 155 (1985) 71; M. de Roo and P. Wagemans, Nucl. Phys. B 262 (1985) 644 and Phys. Lett. B 177 (1986) 352; P. Wagemans, Phys. Lett. B 206 (1988) 241; M. de Roo, D. B. Westra, S. Panda and M. Trigiante, JHEP 0311 (2003) 022 [arXiv:he...

View on Pith Pith review arXiv 1985
[6]

J. Scherk and J. H. Schwarz, Phys. Lett. B 82 (1979) 60 and Nucl. Phys. B 153 (1979) 61

View on Pith 1979
[7]

R. Rohm, Nucl. Phys. B 237 (1984) 553; C. Kounnas and M. Porrati, Nucl. Phys. B 310 (1988) 355; S. Ferrara, C. Kounnas, M. Porrati and F. Zwirner, Nucl. Phys. B 318 (1989) 75; C. Kounnas and B. Rostand, Nucl. Phys. B 341 (1990) 641; I. Anto- niadis, Phys. Lett. B 246 (1990) 377; E. Kiritsis and C. Kounnas, Nucl. Phys. B 503 (1997) 117 [arXiv:hep-th/970305...

View on Pith Pith review arXiv 1984
[8]

E. Cremmer, S. Ferrara, C. Kounnas and D. V. Nanopoulos, Phy s. Lett. B 133 (1983) 61. 25

View on Pith 1983
[9]

J. P. Derendinger, L. E. Ibanez and H. P. Nilles, Phys. Lett. B 155 (1985) 65 and Nucl. Phys. B 267 (1986) 365; M. Dine, R. Rohm, N. Seiberg and E. Witten, Phys. Lett. B 156 (1985) 55; A. Strominger, Nucl. Phys. B 274 (1986) 253; R. Rohm and E. Witten, Annals Phys. 170 (1986) 454

View on Pith 1985
[10]

J. Michelson, Nucl. Phys. B 495 (1997) 127 [arXiv:hep-th/9610151]; K. Dasgupta, G. Rajesh and S. Sethi, JHEP 9908 (1999) 023 [arXiv:hep-th/9908088]; T. R. Taylor and C. Vafa, Phys. Lett. B 474 (2000) 130 [arXiv:hep-th/9912152]; P. Mayr, Nucl. Phys. B 593 (2001) 99 [arXiv:hep-th/0003198]; B. R. Greene, K. Schalm and G. S hiu, Nucl. Phys. B 584 (2000) 480 [...

View on Pith Pith review arXiv 1997
[11]

J. Polchinski and A. Strominger, Phys. Lett. B 388 (1996) 736 [arXiv:hep- th/9510227]; I. Antoniadis, E. Gava, K. S. Narain and T. R. Taylor, Nucl. Phys. B 511 (1998) 611 [arXiv:hep-th/9708075]; S. Gukov, C. Vafa and E. Witte n, Nucl. Phys. B 584 (2000) 69 [Erratum-ibid. B 608 (2001) 477] [arXiv:hep-th/9906070]; 26 S. Gukov, Nucl. Phys. B 574 (2000) 169 [...

View on Pith Pith review arXiv 1996
[12]

C. Angelantonj, S. Ferrara and M. Trigiante, JHEP 0310 (2003) 015 [arXiv:hep- th/0306185] and Phys. Lett. B 582 (2004) 263 [arXiv:hep-th/0310136]

View on Pith Pith review arXiv 2003
[13]

N. Kaloper and R. C. Myers, JHEP 9905 (1999) 010 [arXiv:hep-th/9901045]

View on Pith Pith review arXiv 1999
[15]

I. Antoniadis, J. P. Derendinger and C. Kounnas, Nucl. Phys. B 551 (1999) 41 [arXiv:hep-th/9902032]

View on Pith Pith review arXiv 1999
[16]

J. P. Derendinger, C. Kounnas and F. Zwirner, Nucl. Phys. B 691 (2004) 233 [arXiv:hep-th/0403043]

View on Pith Pith review arXiv 2004
[17]

P. C. C. Wagemans, Aspects of N=4 supergravity, Ph.D. Thesis, Groningen University report RX-1299 (1990)

View on Pith 1990
[18]

S. Ferrara, C. Kounnas and F. Zwirner, Nucl. Phys. B 429 (1994) 589 [arXiv:hep- th/9405188]

View on Pith 1994
[19]

M. Porrati and F. Zwirner, Nucl. Phys. B 326 (1989) 162; I. Antoniadis and C. Koun- nas, Phys. Lett. B 261 (1991) 369

View on Pith 1989
[20]

A. H. Chamseddine, Phys. Rev. D 24 (1981) 3065; S. Thomas and P. C. West, Nucl. Phys. B 245 (1984) 45; E. Bergshoeﬀ, M. de Roo and E. Eyras, Phys. Lett. B 413 (1997) 70 [arXiv:hep-th/9707130]

View on Pith Pith review arXiv 1981
[21]

L. J. Romans, Phys. Lett. B 169 (1986) 374

View on Pith 1986
[22]

P. G. O. Freund and M. A. Rubin, Phys. Lett. B 97 (1980) 233; A. Aurilia, H. Nicolai and P. K. Townsend, Nucl. Phys. B 176 (1980) 509; M. J. Duﬀ and P. van Nieuwen- huizen, Phys. Lett. B 94 (1980) 179; S. W. Hawking, Phys. Lett. B 134 (1984) 403; R. Bousso and J. Polchinski, JHEP 0006 (2000) 006 [arXiv:hep-th/0004134]. 27

View on Pith Pith review arXiv 1980
[23]

D. Israel, C. Kounnas and P. M. Petropoulos, JHEP 0310 (2003) 028 [arXiv:hep- th/0306053]

View on Pith 2003
[24]

E. Witten, Nucl. Phys. B 474 (1996) 343 [arXiv:hep-th/9604030]. 28

View on Pith Pith review arXiv 1996

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A note on obstinate tachyons in classical dS solutions
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In massive IIA flux compactifications on SU(3)-structure manifolds, every known de Sitter critical point has its tachyon inside the subspace spanned by the dilaton, the total volume, and the orientifold-cycle volumes.
On the distribution of stable de Sitter vacua
hep-th 2012-12 conditional novelty 6.0 of 10

In a six-parameter family of isotropic type IIB flux vacua with non-geometric flux, tachyon-free de Sitter critical points are a tiny fraction of all critical points and cluster in thin sheets near zero cosmological constant.
De Sitter hunting in a classical landscape
hep-th 2011-03 accept novelty 6.0 of 10

A systematic scan of homogeneous SU(3)-structure compactifications finds many classical de Sitter critical points, but all are perturbatively unstable and the explicit SU(2)xSU(2) example fails flux quantization in th...
Charting the landscape of N=4 flux compactifications
hep-th 2011-02 conditional novelty 6.0 of 10

A complete classification of the vacua of the SO(3) truncation of N=4 flux compactifications shows that non-supersymmetric anti-de Sitter vacua can be stable and that a non-semisimple gauging admits a de Sitter critic...
T-duality and closed string non-commutative (doubled) geometry
hep-th 2010-10 conditional novelty 6.0 of 10

Closed string coordinates in twisted-torus and H-flux backgrounds fail to commute, with a commutator proportional to the string's momentum (or winding) in the third direction.
Smeared versus localised sources in flux compactifications
hep-th 2010-09 conditional novelty 6.0 of 10

BPS flux vacua with smeared sources survive localisation, but a class of non-BPS AdS solutions with smeared (anti-)D3-branes does not, undermining smeared-source non-BPS constructions.
Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
hep-th 2009-12 accept novelty 6.0 of 10

Flux compactifications of type IIB on SU(2)-structure orientifolds stabilize all moduli in AdS but are ruled out for de Sitter vacua and slow-roll inflation by new no-go theorems in all but one model, which itself giv...
Towards Classical de Sitter Solutions in String Theory
hep-th 2009-07 accept novelty 6.0 of 10

Type IIA O6 compactifications on SU(3)-structure manifolds admit de Sitter solutions only if the torsion classes satisfy two conditions that no known coset or nilmanifold meets, though the same analysis yields new non...
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...
Generalized non-supersymmetric flux vacua
hep-th 2008-07 conditional novelty 6.0 of 10

A classification of non-supersymmetric type II flux vacua by which D-branes remain BPS, yielding no-scale Minkowski examples and new AdS4 solutions.
From ten to four and back again: how to generalize the geometry
hep-th 2007-07 conditional novelty 6.0 of 10

The ten-dimensional supersymmetry equations of warped SU(3)xSU(3) flux vacua are exactly the F- and D-flatness conditions of a Weyl-invariant four-dimensional N=1 supergravity, and non-perturbative corrections deform ...
Towards the supersymmetric standard model from intersecting D6-branes on the Z_6' orientifold
hep-th 2006-03 conditional novelty 6.0 of 10

The Z6-prime orientifold admits supersymmetric D6-brane stacks with (|a∘b|, |a∘b'|) = (2,1) or (1,2), the intersection pattern required for a three-generation MSSM spectrum.
Twisted tori and fluxes: a no go theorem for Lie groups of weak G_2 holonomy
hep-th 2006-03 conditional novelty 6.0 of 10

No seven-dimensional Lie group admits weak G2 holonomy, so no unwarped, source-free M-theory compactification of the form AdS4 times a group manifold with nontrivial internal flux exists.
Gauged N=4 supergravities
hep-th 2006-02 conditional novelty 6.0 of 10

The authors give the general Lagrangian, Killing spinor equations, and scalar potential for gauged N=4 supergravity in four and five dimensions, parameterized by constrained embedding tensors, and show how the five-di...
Hitchin Functionals in N=2 Supergravity
hep-th 2005-05 accept novelty 6.0 of 10

Type II supergravity on SU(3) x SU(3)-structure backgrounds admits a special Kähler geometry on its metric moduli space, with Kähler potentials given by Hitchin functionals, and its gravitino transformations yield N=2...
N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
hep-th 2005-03 conditional novelty 6.0 of 10

A dual formulation of type-IIA string theory yields a geometric superpotential and a family of fluxes that stabilize all seven moduli in a supersymmetric AdS4 vacuum.
On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
hep-th 2008-12 accept novelty 5.5 of 10

A refined no-go theorem rules out de Sitter vacua and slow-roll inflation for six of seven SU(3)-structure coset compactifications of type IIA string theory, and the surviving SU(2)xSU(2) case yields only saddle point...
Remarks on scale separation in flux vacua
hep-th 2015-12 conditional novelty 5.0 of 10

The Maldacena-Nunez no-go theorem extends to exclude scale-separated anti-de Sitter flux vacua in 10- and 11-dimensional supergravity unless negative-tension sources or large dilaton gradients are present.
NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
hep-th 2014-02 conditional novelty 5.0 of 10

The authors propose source-corrected Bianchi identities for the NS5-brane, KK-monopole and Q-brane, recover the sourceless identities from a nilpotent Dirac operator, and show that a class of geometric beta-supergravi...
Non-commutative/non-associative IIA (IIB) Q- and R-branes and their intersections
hep-th 2013-03 conditional novelty 5.0 of 10

Intersecting Q- and R-branes, obtained by T-duality from NS5-branes and KK-monopoles, yield supersymmetric AdS4 x M6 backgrounds whose internal tori carry non-geometric Q- and R-fluxes and exhibit non-commutative or n...
A ten-dimensional action for non-geometric fluxes
hep-th 2011-06 conditional novelty 5.0 of 10

A change of field variables recasts the ten-dimensional NSNS Lagrangian so that the non-geometric Q-flux appears explicitly, and dimensional reduction reproduces the known four-dimensional Q-flux potential.
The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
hep-th 2008-06 conditional novelty 5.0 of 10

Explicit four-dimensional effective theories for type IIA AdS4 compactifications on nilmanifolds and cosets show all moduli stabilized in all but one coset model, with a Kaluza-Klein cross-check confirming the mass spectra.
Thermal effects and finite-temperature cosmology in perturbatively stabilized large volume scenarios
hep-th 2026-05 unverdicted novelty 3.0 of 10

Examines thermal effects on moduli in perturbatively stabilized LVS, deriving T_max dependence on loop corrections and showing thermal metastability is sensitive to post-inflationary history while favoring high-scale ...
Beginners lectures on flux compactifications and related Swampland topics
hep-th 2023-05 accept novelty 3.0 of 10

The notes synthesize flux compactification and Swampland arguments indicating that controlled string vacua may not achieve either small extra dimensions in AdS or parametric control in dS.
What if string theory has no de Sitter vacua?
hep-th 2018-04 conditional novelty 3.0 of 10

The paper argues that string theory may have no de Sitter vacua, based on the absence of a controlled construction and on known no-go results and backreaction problems.
Flux compactifications in string theory: a comprehensive review
hep-th 2005-09 accept novelty 3.0 of 10

A structured survey of type II flux compactifications: which fluxes preserve N=1, why compact spaces need orientifold planes, how fluxes generate superpotentials, and how far they go toward fixing moduli.
Toward Realistic Intersecting D-Brane Models
hep-th 2005-01 accept novelty 3.0 of 10

A structured survey of intersecting D-brane model building: how gauge groups, chiral families, Yukawa couplings and soft terms arise from D-branes wrapping intersecting cycles, and why no fully realistic model exists yet.
String Cosmology: from the Early Universe to Today
hep-th 2023-03 conditional novelty 2.0 of 10

A comprehensive survey that organizes moduli stabilisation, string inflation, post-inflationary moduli domination, dark energy, and alternative early-universe scenarios into a single reference with observational targets.
The Swampland: Introduction and Review
hep-th 2019-03 accept novelty 2.0 of 10

The review organizes the Swampland conjectures, from the Weak Gravity Conjecture to the de Sitter conjecture, and assesses the string-theory and black-hole evidence for each.
Lectures on Nongeometric Flux Compactifications
hep-th 2007-08 conditional novelty 2.0 of 10

T-duality applied to ordinary flux compactifications requires nongeometric fluxes, and the notes assemble the resulting duality-invariant superpotential and its constraints.
Exploring String Theory Solutions: Black hole thermodynamics with $\alpha'$ corrections and type II compactifications
hep-th 2025-05 unverdicted novelty 1.0 of 10

A doctoral thesis restating published results on α'-corrected black holes in heterotic string theory and on type II flux compactifications, with no new standalone results.
Duality Symmetric String and M-Theory
hep-th 2013-06 accept

The paper is a review that connects the doubled worldsheet, Double Field Theory, and exceptional generalised geometry as one program for making T- and U-duality manifest.

How the literature uses it

126 arXiv papers cite this in 229 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We finally identify a family of fluxes, compatible with all Bianchi identities, that perturbatively stabilize all seven moduli in supersymmetric AdS4.

N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes · 0.80

Papers citing it · 153 sentences without a confident label

Compares with it 4 papers

Contrary to the case studied in [ref] where $AdS_4$ with moduli stabilized was obtained with all fluxes on, here no geometric fluxes are present (see ([ref])).

AdS4 flux vacua in type II superstrings and their domain-wall solutions · Supersymmetric AdS$_4$ vacua in type IIA and their IIB mirror duals · 0.99
In some cases the solutions are mirror dual to the well known type IIA AdS flux vacua found by DeWolfe, Giryavets, Kachru and Taylor (DGKT) [ref] (see also [ref] for earlier work).

Type IIB flux compactifications with $h^{1,1}=0$ · Introduction · 0.95
([ref]) reads [equation] which nicely matches the expression of the $N=1$ superpotential found in [ref] .

Type-IIA flux compactifications and N=4 gauged supergravities · $N=4$ embedding of a family of AdS$_4$ vacua · 0.96

Cites it as support 1 paper

The consistency of such constructions is also strengthened by the existence [ref] of consistent $N=1$ truncations of $N=4$ gauged supergravities, derived from type-IIA, $N=1$ orientifold compactifications with NSNS, RR and geometrical fluxes, which do not satisfy [ref] the quadratic constraint $ω ω=0$.

Beyond Twisted Tori · Introduction · 0.98

Cites it as background 62 papers

The type IIA effective superpotential receives three kinds of contributions (see e.g. [ref] ): [equation] The first term is due to the Neveu–Schwarz 3-form fluxes and depends on the dilaton $S$ and the type IIA complex-structure moduli $U_m$ ($m=1,…,h̃^2,1$): [equation] where in type IIA the 3-form $Ω_c$ is defined by $Ω_c=C_3+iRe(CΩ)$.

AdS4 flux vacua in type II superstrings and their domain-wall solutions · Fluxes in type IIA/B and mirror map · 0.90
This setup was analysed in [ref] and then more extensively in [ref] , where it was realised that the solution becomes scale-separated in the weak-coupling limit.

Scale-separated AdS$_4$ vacua of IIA orientifolds and M-theory · Scale separation in IIA · 0.94
* On the other hand, one has classical flux vacua with orientifold planes, such as DGKT-like vacua [ref] .[See also refs.

AdS scale separation and the distance conjecture · Introduction · 0.94

Discussion

Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

[1] [14]

J.-P. Derendinger, C. Kounnas, M. Petropoulos and F. Zwirner , to appear

View on Pith

[2] [1]

J. Polchinski, String theory (Vol. 2: Superstring theory and beyond), Cambridge Uni- versity Press, 1998

View on Pith 1998

[3] [2]

A. Das, Phys. Rev. D 15 (1977) 2805; E. Cremmer and J. Scherk, Nucl. Phys. B 127 (1977) 259; E. Cremmer, J. Scherk and S. Ferrara, Phys. Lett. B 74 (1978) 61

View on Pith 1977

[4] [3]

A. H. Chamseddine, Nucl. Phys. B 185 (1981) 403

View on Pith 1981

[5] [4]

J. P. Derendinger and S. Ferrara, Lectures given at Spring School of Supergravity and Supersymmetry, Trieste, Italy, Apr 4-14, 1984 , CERN-TH-3903

View on Pith 1984

[6] [5]

M. de Roo, Nucl. Phys. B 255 (1985) 515 and Phys. Lett. B 156 (1985) 331; E. Bergshoeﬀ, I. G. Koh and E. Sezgin, Phys. Lett. B 155 (1985) 71; M. de Roo and P. Wagemans, Nucl. Phys. B 262 (1985) 644 and Phys. Lett. B 177 (1986) 352; P. Wagemans, Phys. Lett. B 206 (1988) 241; M. de Roo, D. B. Westra, S. Panda and M. Trigiante, JHEP 0311 (2003) 022 [arXiv:he...

View on Pith Pith review arXiv 1985

[7] [6]

J. Scherk and J. H. Schwarz, Phys. Lett. B 82 (1979) 60 and Nucl. Phys. B 153 (1979) 61

View on Pith 1979

[8] [7]

R. Rohm, Nucl. Phys. B 237 (1984) 553; C. Kounnas and M. Porrati, Nucl. Phys. B 310 (1988) 355; S. Ferrara, C. Kounnas, M. Porrati and F. Zwirner, Nucl. Phys. B 318 (1989) 75; C. Kounnas and B. Rostand, Nucl. Phys. B 341 (1990) 641; I. Anto- niadis, Phys. Lett. B 246 (1990) 377; E. Kiritsis and C. Kounnas, Nucl. Phys. B 503 (1997) 117 [arXiv:hep-th/970305...

View on Pith Pith review arXiv 1984

[9] [8]

E. Cremmer, S. Ferrara, C. Kounnas and D. V. Nanopoulos, Phy s. Lett. B 133 (1983) 61. 25

View on Pith 1983

[10] [9]

J. P. Derendinger, L. E. Ibanez and H. P. Nilles, Phys. Lett. B 155 (1985) 65 and Nucl. Phys. B 267 (1986) 365; M. Dine, R. Rohm, N. Seiberg and E. Witten, Phys. Lett. B 156 (1985) 55; A. Strominger, Nucl. Phys. B 274 (1986) 253; R. Rohm and E. Witten, Annals Phys. 170 (1986) 454

View on Pith 1985

[11] [10]

J. Michelson, Nucl. Phys. B 495 (1997) 127 [arXiv:hep-th/9610151]; K. Dasgupta, G. Rajesh and S. Sethi, JHEP 9908 (1999) 023 [arXiv:hep-th/9908088]; T. R. Taylor and C. Vafa, Phys. Lett. B 474 (2000) 130 [arXiv:hep-th/9912152]; P. Mayr, Nucl. Phys. B 593 (2001) 99 [arXiv:hep-th/0003198]; B. R. Greene, K. Schalm and G. S hiu, Nucl. Phys. B 584 (2000) 480 [...

View on Pith Pith review arXiv 1997

[12] [11]

J. Polchinski and A. Strominger, Phys. Lett. B 388 (1996) 736 [arXiv:hep- th/9510227]; I. Antoniadis, E. Gava, K. S. Narain and T. R. Taylor, Nucl. Phys. B 511 (1998) 611 [arXiv:hep-th/9708075]; S. Gukov, C. Vafa and E. Witte n, Nucl. Phys. B 584 (2000) 69 [Erratum-ibid. B 608 (2001) 477] [arXiv:hep-th/9906070]; 26 S. Gukov, Nucl. Phys. B 574 (2000) 169 [...

View on Pith Pith review arXiv 1996

[13] [12]

C. Angelantonj, S. Ferrara and M. Trigiante, JHEP 0310 (2003) 015 [arXiv:hep- th/0306185] and Phys. Lett. B 582 (2004) 263 [arXiv:hep-th/0310136]

View on Pith Pith review arXiv 2003

[14] [13]

N. Kaloper and R. C. Myers, JHEP 9905 (1999) 010 [arXiv:hep-th/9901045]

View on Pith Pith review arXiv 1999

[15] [15]

I. Antoniadis, J. P. Derendinger and C. Kounnas, Nucl. Phys. B 551 (1999) 41 [arXiv:hep-th/9902032]

View on Pith Pith review arXiv 1999

[16] [16]

J. P. Derendinger, C. Kounnas and F. Zwirner, Nucl. Phys. B 691 (2004) 233 [arXiv:hep-th/0403043]

View on Pith Pith review arXiv 2004

[17] [17]

P. C. C. Wagemans, Aspects of N=4 supergravity, Ph.D. Thesis, Groningen University report RX-1299 (1990)

View on Pith 1990

[18] [18]

S. Ferrara, C. Kounnas and F. Zwirner, Nucl. Phys. B 429 (1994) 589 [arXiv:hep- th/9405188]

View on Pith 1994

[19] [19]

M. Porrati and F. Zwirner, Nucl. Phys. B 326 (1989) 162; I. Antoniadis and C. Koun- nas, Phys. Lett. B 261 (1991) 369

View on Pith 1989

[20] [20]

A. H. Chamseddine, Phys. Rev. D 24 (1981) 3065; S. Thomas and P. C. West, Nucl. Phys. B 245 (1984) 45; E. Bergshoeﬀ, M. de Roo and E. Eyras, Phys. Lett. B 413 (1997) 70 [arXiv:hep-th/9707130]

View on Pith Pith review arXiv 1981

[21] [21]

L. J. Romans, Phys. Lett. B 169 (1986) 374

View on Pith 1986

[22] [22]

P. G. O. Freund and M. A. Rubin, Phys. Lett. B 97 (1980) 233; A. Aurilia, H. Nicolai and P. K. Townsend, Nucl. Phys. B 176 (1980) 509; M. J. Duﬀ and P. van Nieuwen- huizen, Phys. Lett. B 94 (1980) 179; S. W. Hawking, Phys. Lett. B 134 (1984) 403; R. Bousso and J. Polchinski, JHEP 0006 (2000) 006 [arXiv:hep-th/0004134]. 27

View on Pith Pith review arXiv 1980

[23] [23]

D. Israel, C. Kounnas and P. M. Petropoulos, JHEP 0310 (2003) 028 [arXiv:hep- th/0306053]

View on Pith 2003

[24] [24]

E. Witten, Nucl. Phys. B 474 (1996) 343 [arXiv:hep-th/9604030]. 28

View on Pith Pith review arXiv 1996