Towards New Classes of Flux Compactifications

Paul Franche

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Towards New Classes of Flux Compactifications

Paul Franche

High Energy Physics - Theory · Submitted 27 Mar 2013

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

The authors' main claim This provides us with a compelling gravity dual of large N thermal quantum chromodynamics with flavor.

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We derive novel solutions of flux compactification with D7-branes on the resolved conifold in type IIB String Theory and later extend this solution to allow for non-zero temperature. At zero temperature, we find that adding D7-branes via the Ouyang embedding contributes to the supersymmetry-breaking (1,2) imaginary-self-dual flux, without generating a bulk cosmological constant. We further find that having D7-branes and a resolved conifold together give rise to a non-trivial D-term on the D7-branes. This supersymmetry-breaking term vanishes when we take the singular conifold limit, although supersymmetry appears to remain broken. We also lift our construction to F-theory where we show that the type IIB (1,2) flux goes to (2,2) non-primitive flux on the fourfold. In the second part of the thesis, we extend these results by taking the non-extremal limit of our geometry to incorporate temperature. In this case, the internal NS-NS and R-R fluxes are no longer expected to be self-dual, but they should also naturally be extensions of the fluxes found above. From the supergravity equations of motion, we compute how the new contributions to the fluxes should enter, due to the squashing of the resolved metric and non-extremality. This provides us with a compelling gravity dual of large N thermal quantum chromodynamics with flavor.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We derive novel solutions of flux compactification with D7-branes on the resolved conifold in type IIB String Theory and later extend this solution to allow for non-zero temperature.	contribution 1.00	0.96	0.22	asserted 1.00
s1	At zero temperature, we find that adding D7-branes via the Ouyang embedding contributes to the supersymmetry-breaking (1,2) imaginary-self-dual flux, without generating a bulk cosmological constant.	result 1.00	0.96	0.22	asserted 1.00
s2	We further find that having D7-branes and a resolved conifold together give rise to a non-trivial D-term on the D7-branes.	result 1.00	0.94	0.12	asserted 1.00
s3	This supersymmetry-breaking term vanishes when we take the singular conifold limit, although supersymmetry appears to remain broken.	result 0.99	0.90	0.07	asserted 0.92
s4	We also lift our construction to F-theory where we show that the type IIB (1,2) flux goes to (2,2) non-primitive flux on the fourfold.	result 0.64	0.94	0.13	asserted 1.00
s5	In the second part of the thesis, we extend these results by taking the non-extremal limit of our geometry to incorporate temperature.	contribution 0.85	0.92	0.06	asserted 0.98
s6	In this case, the internal NS-NS and R-R fluxes are no longer expected to be self-dual, but they should also naturally be extensions of the fluxes found above.	interpretation 0.29	0.28	0.07	hedged possibility 0.90
s7	From the supergravity equations of motion, we compute how the new contributions to the fluxes should enter, due to the squashing of the resolved metric and non-extremality.	method 0.89	0.94	0.08	asserted 1.00
s8	This provides us with a compelling gravity dual of large N thermal quantum chromodynamics with flavor.	interpretation 0.96	0.73	0.31	asserted 0.86

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

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Original abstract

We derive novel solutions of flux compactification with D7-branes on the resolved conifold in type IIB String Theory and later extend this solution to allow for non-zero temperature. At zero temperature, we find that adding D7-branes via the Ouyang embedding contributes to the supersymmetry-breaking (1,2) imaginary-self-dual flux, without generating a bulk cosmological constant. We further find that having D7-branes and a resolved conifold together give rise to a non-trivial D-term on the D7-branes. This supersymmetry-breaking term vanishes when we take the singular conifold limit, although supersymmetry appears to remain broken. We also lift our construction to F-theory where we show that the type IIB (1,2) flux goes to (2,2) non-primitive flux on the fourfold. In the second part of the thesis, we extend these results by taking the non-extremal limit of our geometry to incorporate temperature. In this case, the internal NS-NS and R-R fluxes are no longer expected to be self-dual, but they should also naturally be extensions of the fluxes found above. From the supergravity equations of motion, we compute how the new contributions to the fluxes should enter, due to the squashing of the resolved metric and non-extremality. This provides us with a compelling gravity dual of large N thermal quantum chromodynamics with flavor.

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3 arXiv papers cite this in 3 sentences

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What it cites · 175 sentences without a confident label

Contests 6 papers

(4.3) of [ref] , concerning the sign of $F_3$.] [equation] and the self–dual 5–form flux is given by [equation] where [equation] and where P is proportional to the number of fractional D3-branes $M$ and Q proportional to the number of regular D3-branes[Different notations have been used to represented the number of branes.

3-branes on resolved conifold · The Pando Zayas-Tseytlin Solution · contest 0.74
The latter condition is not met by the singular Ouyang embedding in [ref] .

Holomorphic D7-Branes and Flavored N=1 Gauge Theories · Ouyang embedding of D7–branes on the resolved conifold · contest 0.83
For our case $H_3$ is given by[We corrected a minor typo in [ref] .]:

Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential · Towards an Exact Solution to the Thermal Supergravity Equations · contest 0.83

Builds on 6 papers

In the second part of the thesis, we used these results and the work of [ref] on thermal solutions to explore further String Theory solutions with a particle physics perspective.

Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas · Towards an Exact Solution to the Thermal Supergravity Equations · 0.91
In the second part of the thesis, we used these results and the work of [ref] on thermal solutions to explore further String Theory solutions with a particle physics perspective.

Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential · Towards an Exact Solution to the Thermal Supergravity Equations · 0.91
In the second part of the thesis, we used these results and the work of [ref] on thermal solutions to explore further String Theory solutions with a particle physics perspective.

Non-Extremality, Chemical Potential and the Infrared limit of Large N Thermal QCD · Towards an Exact Solution to the Thermal Supergravity Equations · 0.91

Uses the method or tool of 7 papers

We will closely follow the method laid out in [ref] and solve the SuGra equation of motion only in linear order $g_sN$.

Holomorphic D7-Branes and Flavored N=1 Gauge Theories · Towards an Exact Solution to the Thermal Supergravity Equations · 1.00
The approach taken to solve type IIB supergravity equations of motion is to follow the same guidelines as in GKP [ref] , presented in section [ref].

Hierarchies from Fluxes in String Compactifications · Towards an Exact Solution to the Thermal Supergravity Equations · 0.99
This construction follows the ones laid out in [ref] .

Geometric Transitions, Flops and Non-Kahler Manifolds: I · Compactification and non-Kählerity · 0.86

Compares with 13 papers

In the large $ρ$ limit ($ρ≫3a^2$), we reproduce exactly the KT solution [ref] with its characteristic logarithmic behavior.

Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories · The Pando Zayas-Tseytlin Solution · 0.98
We developed a similar solution as in [ref] , but we embedded our D7-branes via the holomorphic Ouyang embedding [ref] and we use the resolved conifold geometry, as opposed to the non-supersymmetric Kuperstein embedding and the singular conifold of [ref] .

Holomorphic D7-Branes and Flavored N=1 Gauge Theories · Introduction · 0.89
We developed a similar solution as in [ref] , but we embedded our D7-branes via the holomorphic Ouyang embedding [ref] and we use the resolved conifold geometry, as opposed to the non-supersymmetric Kuperstein embedding and the singular conifold of [ref] .

Towards an Explicit Model of D-brane Inflation · Introduction · 0.89

Cites as support 1 paper

It turns out, however, that in the case of only D3–branes, the D–terms will vanish in the vacuum [ref] .

Flux-induced SUSY-breaking soft terms on D7-D3 brane systems · GKP Flux Compactification · 0.97

Cites as background 36 papers

This solution is known as the Klebanov-Tseytlin (KT) solution [ref] and will serve as the starting point in the UV of a series of Seiberg dualities, which Klebanov-Strassler (KS) [ref] demonstrated to be an RG flow fully illustrating gauge/gravity duality.

Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories · The Klebanov-Witten Solution · 0.81
This solution is known as the Klebanov-Tseytlin (KT) solution [ref] and will serve as the starting point in the UV of a series of Seiberg dualities, which Klebanov-Strassler (KS) [ref] demonstrated to be an RG flow fully illustrating gauge/gravity duality.

Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities · The Klebanov-Witten Solution · 0.81
This duality was first formulated by Maldacena [ref] where he conjectured that the $AdS_5×S^5$ geometry induced by a stack of $N$ parallel D3-branes is dual to the $𝒩=4$ $SU(N)$ Super Yang-Mills gauge theory living on the branes.

The Large N Limit of Superconformal Field Theories and Supergravity · Introduction · 1.00

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