Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds

Abstract

We give a detailed derivation of a supersymmetric configuration of wrapped D5-branes on a two-cycle of a warped resolved conifold. Our analysis reveals that the resolved conifold should support a non-Kahler metric with an SU(3) structure. We use this as a starting point of the geometric transition in type IIB theory. A mirror, and a subsequent flop transition using an intermediate M-theory configuration with a G_2 structure, gives rise to the complete IR geometric transition in type IIA theory. A further mirror transformation gives the type IIB gravity dual of the IR gauge theory on the wrapped D5-branes. Expectedly non-Kahler deformations of the resolved and the deformed conifolds appear as the gravity duals of the confining gauge theories in type IIA and type IIB theories respectively, although in more generic cases these manifolds could also be non-geometric. In the local limit we reproduce precisely the scenarios presented in our earlier works. Our present work should therefore be viewed as providing a supergravity proof of geometric transitions in the full global scenarios in type II theories.

45 pages plus appendices, 2 eps figures, LaTex JHEP3; v2: Typos corrected, some comments and references added; v3: More typos corrected and the text expanded in this final version. The version that appears in Nucl. Phys. B do not have the appendices. All the appendices in the published version are restored in this archive version

References in corpus (14)

• Form factors at strong coupling via a Y-system
• The Leading Quantum Corrections to Stringy Kahler Potentials
• Heating up the Baryonic Branch with U-duality: a unified picture of conifold black holes
• Conifolds and Geometric Transitions
• Heavy Quarkonium Melting in Large N Thermal QCD
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Flux compactification on smooth, compact three-dimensional toric varieties
• D-terms on the resolved conifold
• Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
• Missing Mirrors: Type IIA Supergravity on the Resolved Conifold
• Quantum Corrections to Heterotic Moduli Potentials
• Toward the Gravity Dual of Heterotic Small Instantons
• Toward NS5 Branes on the Resolved Cone over Y^{p,q}
• Heterotic Flux Attractors

Cited by in corpus (24)

• Linear Sigma Models with Torsion
• Bulk Viscosity at Extreme Limits: From Kinetic Theory to Strings
• Fermions on the Anti-Brane: Higher Order Interactions and Spontaneously Broken Supersymmetry
• Towards MQGP
• On Aspects of Holographic Thermal QCD at Finite Coupling
• Non-Extremality, Chemical Potential and the Infrared limit of Large N Thermal QCD
• Transport Coefficients of Black MQGP M3-Branes
• New Insights into Properties of Large-N Holographic Thermal QCD at Finite Gauge Coupling at (the Non-Conformal/Next-to) Leading Order in N
• Top-Down Holographic $G$-Structure Glueball Spectroscopy at (N)LO in $N$ and Finite Gauge Coupling
• Delocalized SYZ Mirrors and Confronting Top-Down $SU(3)$-Structure Holographic Meson Masses at Finite $g$ and $N_c$ with P(article) D(ata) G(roup) Values
• Gauge/Gravity Duality in Heterotic String Theory
• M-Theory Exotic Scalar Glueball Decays to Mesons at Finite Coupling
• Geometric Constructions of Two Dimensional (0,2) SUSY Theories
• Toward the Gravity Dual of Heterotic Small Instantons
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Non-Kahler Resolved Conifold, Localized Fluxes in M-Theory and Supersymmetry
• (N)LSP Decays and Gravitino Dark Matter Relic Abundance in Big Divisor (nearly) SLagy D3/D7 mu-Split SUSY
• On $\mathcal{M}$-Theory Dual of Large-$N$ Thermal QCD-Like Theories up to $\mathcal{O}(R^4)$ and $G$-Structure Classification of Underlying Non-Supersymmetric Geometries
• Toward NS5 Branes on the Resolved Cone over Y^{p,q}
• Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and the Surface Operators
• Renormalization Group Flow, Stability, and Bulk Viscosity in a Large N Thermal QCD Model
• On the Scalar Spectrum of the Y^{p,q} Manifolds
• A companion to "Knot invariants and M-theory I'' [arXiv:1608.05128]: proofs and derivations
• Topics in Supergravity Phenomenology