Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT

Abstract

We obtain a family of heterotic supergravity backgrounds describing non-Kahler warped conifolds with three-form flux and an Abelian gauge bundle, preserving N=1 supersymmetry in four dimensions. At large distance from the singularity the usual Ricci-flat conifold is recovered. By performing a Z_2 orbifold of the T^{1,1} base, the conifold singularity can be blown-up to a four-cycle, leading to a completely smooth geometry. Remarkably, the throat regions of the solutions, which can be isolated from the asymptotic Ricci-flat geometry using a double-scaling limit, possess a worldsheet CFT description in terms of heterotic cosets whose target space is the warped resolved orbifoldized conifold. Thus this construction provides exact solutions of the modified Bianchi identity. By solving algebraically these CFTs we compute the exact tree-level heterotic string spectrum and describe worldsheet non-perturbative effects. The holographic dual of these solutions, in particular their confining behavior, and the embedding of these fluxed singularities into heterotic compactifications with torsion are also discussed.

52 pages, 5 figures; v2: small corrections

References in corpus (2)

• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• The effective action of the heterotic string compactified on manifolds with SU(3) structure

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• Unquenched flavor in the gauge/gravity correspondence
• Gauge/Gravity Duality in Heterotic String Theory
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• Toward the Gravity Dual of Heterotic Small Instantons
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• T-Duality in Gauged Linear Sigma-Models with Torsion
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• Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Heterotic Flux Geometry from Chiral Gauge Dynamics
• Brane resolution in heterotic theory through BF term