Non-Kahler Resolved Conifold, Localized Fluxes in M-Theory and Supersymmetry
arXiv:1412.3123 · doi:10.1007/JHEP02(2015)179
Abstract
The known supergravity solution for wrapped D5-branes on the two-cycle of a Kahler resolved conifold is in general ISD but not supersymmetric, with the supersymmetry being broken by the presence of (1, 2) fluxes. However if we allow a non-Kahler metric on the resolved conifold, supersymmetry can easily be restored. The vanishing of the (1, 2) fluxes here corresponds to, under certain conformal rescalings of the metric, the torsion class constraints. We construct a class of explicit non-Kahler metrics on the resolved conifold satisfying the constraints. All this can also be studied from M-theory, where the fluxes and branes become non-localized G-fluxes on deformed Taub-NUT spaces. Interestingly, the gauge fluctuations on the wrapped D5-branes appear now as localized G-fluxes in M-theory. These localized fluxes are related to certain harmonic two-forms that are normalizable. We compute these forms explicitly and discuss how new constraints on the geometry of the non-Kahler manifolds may appear from M-theory considerations.
arXiv comment40 pages, no figures, LaTeX JHEP format
References in corpus (35)
- Hierarchies from Fluxes in String Compactifications
- M Theory, Orientifolds and G-Flux
- Mirror Symmetry is T-Duality
- Superstrings and Topological Strings at Large N
- Soft Supersymmetry Breaking in KKLT Flux Compactification
- Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
- Non-Kaehler String Backgrounds and their Five Torsion Classes
- Superstrings with Intrinsic Torsion
- Mirror Symmetry in Generalized Calabi-Yau Compactifications
- Gaugino Condensates and D-terms from D7-branes
- Form factors at strong coupling via a Y-system
- D-terms and F-terms from D7-brane fluxes
- Brane Constructions, Conifolds and M-Theory
- The intrinsic torsion of SU(3) and G_2 structures
- Brane Configurations for Branes at Conifolds
- 3-branes on resolved conifold
- Ricci-flat Metrics, Harmonic Forms and Brane Resolutions
- Geometric Transition, Large N Dualities and MQCD Dynamics
- Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas
- de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
- Geometric Transitions, Flops and Non-Kahler Manifolds: I
- The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory
- Geometric Transitions, Flops and Non-Kahler Manifolds: II
- In the Realm of the Geometric Transitions
- Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential
- Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
- Time-Dependent Warping, Fluxes, and NCYM
- Dynamics of Multiple Kaluza-Klein Monopoles in M- and String Theory
- Conifolds and Geometric Transitions
- Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds
- Born-Infeld Action and Chern-Simons Term from Kaluza-Klein Monopole in M-theory
- D-terms on the resolved conifold
- Towards MQGP
- On the geometry of string duals with backreacting flavors
- Gauge/Gravity Duality in Heterotic String Theory
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- Bulk Viscosity at Extreme Limits: From Kinetic Theory to Strings
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- Observable Chiral Gravitational Waves from Inflation in String Theory
- de Sitter Space as a Glauber-Sudarshan State
- Geometric Constructions of Two Dimensional (0,2) SUSY Theories
- Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and the Surface Operators
- A companion to "Knot invariants and M-theory I'' [arXiv:1608.05128]: proofs and derivations
- A companion to "Non-Kähler Deformed Conifold, Ultra-Violet Completion and Supersymmetric Constraints in the Baryonic Branch"