D3-brane Vacua in Stabilized Compactifications

Bret Underwood; Gary Shiu; Liam McAllister; Oliver DeWolfe

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D3-brane Vacua in Stabilized Compactifications

Oliver DeWolfe, Liam McAllister, Gary Shiu, Bret Underwood

High Energy Physics - Theory · Submitted 8 Mar 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In addition, we show that anti-D3-branes and D3-branes are localized to the same regions by the nonperturbative potential, avoiding a potential obstacle to brane inflation.

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arXiv IDhep-th/0703088 (version 2)

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CitationBret Underwood, Gary Shiu, Liam McAllister, Oliver DeWolfe. "D3-brane Vacua in Stabilized Compactifications." arXiv:hep-th/0703088 (2007). https://pith.science/paper/GBEPHHD3

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.86 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.25 · mentions code or data availability 0.02.

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D3-branes feel no force in no-scale flux compactifications of type IIB string theory, but the nonperturbative effects required to stabilize the Kahler moduli break the no-scale structure and generate a potential for D3-brane motion, confining the branes to certain loci. D3-branes away from these loci break supersymmetry spontaneously, by an F-term. We present the general conditions for supersymmetric D3-brane vacua in models with a single Kahler modulus, then explicitly calculate these vacua for D3-branes moving on the tip of the warped deformed conifold. We find both continuous moduli spaces and isolated vacua. In addition, we show that anti-D3-branes and D3-branes are localized to the same regions by the nonperturbative potential, avoiding a potential obstacle to brane inflation. We apply these results to determine whether angular motion of a brane in a throat could play an important role in inflation, and find that any inflation along the angular directions is short-lived because the field space is very small.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	D3-branes feel no force in no-scale flux compactifications of type IIB string theory, but the nonperturbative effects required to stabilize the Kahler moduli break the no-scale structure and generate a potential for D3-brane motion, confining the branes to certain loci.	background 0.99	0.10	0.16	asserted 1.00
s1	D3-branes away from these loci break supersymmetry spontaneously, by an F-term.	background 0.77	0.24	0.09	asserted 1.00
s2	We present the general conditions for supersymmetric D3-brane vacua in models with a single Kahler modulus, then explicitly calculate these vacua for D3-branes moving on the tip of the warped deformed conifold.	contribution 0.98	0.96	0.14	asserted 0.99
s3	We find both continuous moduli spaces and isolated vacua.	result 1.00	0.96	0.18	asserted 1.00
s4	In addition, we show that anti-D3-branes and D3-branes are localized to the same regions by the nonperturbative potential, avoiding a potential obstacle to brane inflation.	result 0.95	0.94	0.18	asserted 1.00
s5	We apply these results to determine whether angular motion of a brane in a throat could play an important role in inflation, and find that any inflation along the angular directions is short-lived because the field space is very small.	result 0.95	0.96	0.18	asserted 0.99

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Original abstract

D3-branes feel no force in no-scale flux compactifications of type IIB string theory, but the nonperturbative effects required to stabilize the Kahler moduli break the no-scale structure and generate a potential for D3-brane motion, confining the branes to certain loci. D3-branes away from these loci break supersymmetry spontaneously, by an F-term. We present the general conditions for supersymmetric D3-brane vacua in models with a single Kahler modulus, then explicitly calculate these vacua for D3-branes moving on the tip of the warped deformed conifold. We find both continuous moduli spaces and isolated vacua. In addition, we show that anti-D3-branes and D3-branes are localized to the same regions by the nonperturbative potential, avoiding a potential obstacle to brane inflation. We apply these results to determine whether angular motion of a brane in a throat could play an important role in inflation, and find that any inflation along the angular directions is short-lived because the field space is very small.

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References

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Towards an Explicit Model of D-brane Inflation
hep-th 2007-06 conditional novelty 7.0 of 10

For the Kuperstein D7 embedding, the full D3-brane inflaton potential including moduli-stabilization corrections can be fine-tuned to support slow-roll inflation near an inflection point, while ACR embeddings admit no...
Small Cosmological Constants in String Theory
hep-th 2021-07 conditional novelty 6.0 of 10

Explicit type IIB orientifolds with quantized fluxes admit supersymmetric AdS4 vacua in which all closed-string moduli are stabilized and the cosmological constant is below 10^-123 in Planck units.
de Sitter Vacua from Ten Dimensions
hep-th 2019-08 conditional novelty 6.0 of 10

Gaugino condensation on D7-branes plus anti-D3-branes produce a ten-dimensional stress-energy that exactly reproduces the KKLT four-dimensional scalar potential and curvature.
Gravitational Waves from Broken Cosmic Strings: The Bursts and the Beads
astro-ph.CO 2009-03 conditional novelty 6.0 of 10

A network of metastable cosmic strings that decays by monopole pair nucleation produces 1/f gravitational wave bursts and a scale-invariant stochastic background, detectable by Advanced LIGO for tensions down to G mu ...
Spinflation
hep-th 2007-09 conditional novelty 6.0 of 10

Angular momentum in DBI brane inflation buys a handful of extra e-foldings but does not resolve the tension between sufficient inflation and controllable backreaction in the Klebanov-Strassler throat.

Show 1 more citing papers

Moduli Stabilization in String Theory
hep-th 2023-10 accept novelty 2.0 of 10

This is a review of moduli stabilization in string compactifications, organizing the KKLT and Large Volume Scenario constructions, their extensions to other string theories, and their cosmological and particle-physics...

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33 arXiv papers cite this in 68 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

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We also extend the argument from [ref] , proven there in the supersymmetric case, that $3$-branes will have the same vacua as D3-branes at the bottom of a KS throat, removing a potential obstacle to brane inflation (for some work in the context of these nonperturbative potentials see [ref] ).

Nonsupersymmetric brane vacua in stabilized compactifications · Introduction · 0.99

Compares with it 1 paper

In contrast to the single stack case where the D3-brane is stabilized at the end of the throat [ref] , one can now dynamically stabilize the D3 position moduli in the intermediate region of the deformed conifold.

Inflation on an Open Racetrack · Non-Perturbative Potential in Warped Throats · 0.93

Cites it as support 5 papers

Also, one can verify [ref] that at the tip $k$ is stationary in all directions: $∂_z^A k=0$.

Inflation at the Tip · F-term potential for a D3-brane at the tip · 0.98
The D3-brane potential from moduli stabilization is minimized when the D3-brane is at the tip of the throat, in all the configurations studied in this paper (see also [ref] ).

Towards an Explicit Model of D-brane Inflation · Bound on the field range · 0.98
Thus, the F-flat configuration for the D3-brane position moduli has the D3-branes stabilized away from the vanishing loci $𝒜_D_I=0$ [ref] .

Small Cosmological Constants in String Theory · Pfaffian numbers · 0.97

Cites it as background 6 papers

We have in mind a warped deformed conifold (eventually cut and glued to a compact Calabi-Yau manifold as in GKP [ref] ), but we will always consider regions far away from the tip where the metric is well approximated by the singular conifold[Very close to the tip, where the deformation cannot be neglected, one has $k(w,w)=r^3+const.$ [ref] .

Chasing Brane Inflation in String-Theory · The $η$-Problem from Volume Stabilization · 0.81
We will consider a GKP-type [ref] background metric of the form of a warped product of a 4-d FRW spacetime and a 6-d space which locally is a cone over a compact 5-d space[We will not specify the form of $X_5$ in this paper, but the reader should have in mind a space like $Y^p,q$ or $L^a,b,c$.] $X_5$, [equation] For simplicity we will only consider motion of the D-brane in the radial direction of the throat (for studies which take into account the angular directions see [ref] ), and will consider only radial profiles for the warp factor $e^4A(r)$ and the dilaton $Φ(r)$.

Brane Inflation is Attractive · D-brane Inflation · 0.87
We allow the brane to have spiral motion (i.e. movement in the internal angular directions of the compactification [ref] ) in the throat of the warped space.

Spinflation · Introduction · 0.86

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