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Gauge/Gravity Duality in Heterotic String Theory
High Energy Physics - Theory · Submitted 19 Mar 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In the decoupling limit, we argue that the gravity duals are given by non-Kahler manifolds that have both blown-up two-cycles and three-cycles at the origin.
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The abstract, sentence by sentence
Gravity duals for little string theories --- which give rise to four-dimensional theories that undergo permanent confinement in the infrared --- have not been studied in great detail. We address this question in the framework of heterotic SO(32) and E_8 x E_8 string theory, constructing these backgrounds by wrapping heterotic five-branes on calibrated two-cycles of non-Kahler resolved conifolds. Related to deformations of the underlying little string theories, we find numerous analytic solutions preserving N = 1 supersymmetry in four-dimensions. These theories all have non-abelian global symmetries that generally arise from both the heterotic vector bundle and from certain orbifold states. In the decoupling limit, we argue that the gravity duals are given by non-Kahler manifolds that have both blown-up two-cycles and three-cycles at the origin. We argue this following certain duality sequences that include M-theory torsional manifolds at an intermediate step, which help us to construct new type I' gauge/gravity duality pairs. In the M-theory duality frame, we also elucidate new sequences of flips and flops.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Gravity duals for little string theories --- which give rise to four-dimensional theories that undergo permanent confinement in the infrared --- have not been studied in great detail. | gap 0.98 | 0.05 | 0.03 | asserted 0.99 |
| s1 | We address this question in the framework of heterotic SO(32) and E_8 x E_8 string theory, constructing these backgrounds by wrapping heterotic five-branes on calibrated two-cycles of non-Kahler resolved conifolds. | contribution 0.73 | 0.95 | 0.11 | asserted 1.00 |
| s2 | Related to deformations of the underlying little string theories, we find numerous analytic solutions preserving N = 1 supersymmetry in four-dimensions. | result 0.96 | 0.96 | 0.12 | asserted 1.00 |
| s3 | These theories all have non-abelian global symmetries that generally arise from both the heterotic vector bundle and from certain orbifold states. | result 1.00 | 0.79 | 0.07 | asserted 0.94 |
| s4 | In the decoupling limit, we argue that the gravity duals are given by non-Kahler manifolds that have both blown-up two-cycles and three-cycles at the origin. | result 0.86 | 0.83 | 0.51 | asserted 0.50 |
| s5 | We argue this following certain duality sequences that include M-theory torsional manifolds at an intermediate step, which help us to construct new type I' gauge/gravity duality pairs. | method 0.88 | 0.83 | 0.14 | asserted 0.64 |
| s6 | In the M-theory duality frame, we also elucidate new sequences of flips and flops. | contribution 0.57 | 0.89 | 0.06 | asserted 1.00 |
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Original abstract
Gravity duals for little string theories --- which give rise to four-dimensional theories that undergo permanent confinement in the infrared --- have not been studied in great detail. We address this question in the framework of heterotic SO(32) and E_8 x E_8 string theory, constructing these backgrounds by wrapping heterotic five-branes on calibrated two-cycles of non-Kahler resolved conifolds. Related to deformations of the underlying little string theories, we find numerous analytic solutions preserving N = 1 supersymmetry in four-dimensions. These theories all have non-abelian global symmetries that generally arise from both the heterotic vector bundle and from certain orbifold states. In the decoupling limit, we argue that the gravity duals are given by non-Kahler manifolds that have both blown-up two-cycles and three-cycles at the origin. We argue this following certain duality sequences that include M-theory torsional manifolds at an intermediate step, which help us to construct new type I' gauge/gravity duality pairs. In the M-theory duality frame, we also elucidate new sequences of flips and flops.
Human review
How the literature uses it
7 arXiv papers cite this in 19 sentences
Papers citing it · 16 sentences without a confident label
Uses its method or tool 1 paper
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For us the relevant torsion classes are the $W_4$ and $W_5$ classes, defined as: 𝒲_4 = F_3r - √(F_1 F_2)4 F_3 + F_4r - √(F_1 F_2)4 F_4 + ϕ_r , Re 𝒲_5 = F_3r 12 F_3 + F_4r 12 F_4 + F_2r - 2√(F_1F_2) 12 F_2 + ϕ_r2, where one may look at the detailed derivations from [ref] or some of the earlier papers in the series namely [ref] etc.
Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and the Surface Operators · Finding the warp factors using torsion classes · 0.93
Cites it as background 2 papers
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Following [ref] which we have already mentioned, a further supergravity analysis on the conifold appeared in [ref] .
The Abelian Heterotic Conifold · Introduction · 0.97
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Another place where non-Kähler resolved conifold shows up is in the gravity dual of little string theories (LSTs) recently studied in [ref] .
Non-Kahler Resolved Conifold, Localized Fluxes in M-Theory and Supersymmetry · Introduction · 0.87
What it cites · 35 sentences without a confident label
Contests 2 papers
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Naively, this can be obtained by performing three T-dualities along $ψ$, $ϕ_1$, and $ϕ_2$, but this would lead to an erroneous result [ref] .
Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds · Type I$^'$ and type IIA duality frames · contest 0.72
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Naively, this can be obtained by performing three T-dualities along $ψ$, $ϕ_1$, and $ϕ_2$, but this would lead to an erroneous result [ref] .
Toward the Gravity Dual of Heterotic Small Instantons · Type I$^'$ and type IIA duality frames · contest 0.72
Uses the method or tool of 3 papers
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Following the steps and notation in [ref] , we find the metric: ds^2_IIA = e^-ϕ[ds^2_0123 + H_2 dr^2] + H_1(dψ+ Δ_1 cosθ_1 dϕ_1 + Δ_2 cosθ_2 dϕ_2)^2 + (H_3a dθ_1^2 + H_3bdϕ_2^2) + (H_4a dθ_2^2 + H_4bdϕ_1^2)where $ϕ$ is the remnant of the dilaton factor from M-theory after flop and $H_2$ is the same as in [ref].
Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds · Gravity duals in the heterotic theories · 0.93
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Thus, one might hope to gain a better understanding of the backgrounds, and perhaps even the geometric transition itself, through RNS worldsheet techniques, similar to those in [ref] , where a non-perturbative (in $α'$) understanding of a class of non-Kähler backgrounds was given.
Computing the Spectrum of a Heterotic Flux Vacuum · Discussions and Conclusions · 0.81
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Thus, one might hope to gain a better understanding of the backgrounds, and perhaps even the geometric transition itself, through RNS worldsheet techniques, similar to those in [ref] , where a non-perturbative (in $α'$) understanding of a class of non-Kähler backgrounds was given.
Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT · Discussions and Conclusions · 0.81
Uses data or values from 1 paper
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For the other coefficients, one may look up their values in section 4.4 of [ref] .[Note that one has to set to zero all of the $b_ij$ fields that appear in the fibrational structure in [ref] .] The various components of the fluxes could be traced from the original type I side or from [ref] and [ref].
Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds · Gravity duals in the heterotic theories · 0.81
Compares with 3 papers
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Compared to some of our earlier works [ref] , this is a more direct way to integrate these theories into a single duality chain.
Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds · Introduction · 0.93
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Compared to some of our earlier works [ref] , this is a more direct way to integrate these theories into a single duality chain.
Toward the Gravity Dual of Heterotic Small Instantons · Introduction · 0.93
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Then the background metric for this case can be expressed as: ds^2 = ds^2_0123 + e_0r^2[dr^21+br^8 + r^2576(1+br^8)f_6^2 (dψ+ cosθ_1 dϕ_1 + cosθ_2 dϕ_2)^2 + r^2(f_6 48+ a^2) (dθ_1^2 + sin^2θ_1 dϕ_1^2) + r^2(f_6 48)(dθ_2^2 + sin^2θ_2 dϕ_2^2)]where for $r ≫b^18$ the metric resembles the one of [ref] at the leading order, albeit with a positive value for $b$.
Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT · An infinite class of solutions · 1.00
Cites as background 3 papers
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Nevertheless, some recent progress has been made in a series of papers [ref] , as well as [ref] , starting with the program initiated in [ref] .
Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT · Introduction · 0.91
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Nevertheless, some recent progress has been made in a series of papers [ref] , as well as [ref] , starting with the program initiated in [ref] .
Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds · Introduction · 0.91
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Nevertheless, some recent progress has been made in a series of papers [ref] , as well as [ref] , starting with the program initiated in [ref] .
Toward the Gravity Dual of Heterotic Small Instantons · Introduction · 0.91
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