Gauge/Gravity Duality and Warped Resolved Conifold
arXiv:hep-th/0701064 · doi:10.1088/1126-6708/2007/03/042
Abstract
We study supergravity backgrounds encoded through the gauge/string correspondence by the SU(N) \times SU(N) theory arising on N D3-branes on the conifold. As discussed in hep-th/9905104, the dynamics of this theory describes warped versions of both the singular and the resolved conifolds through different (symmetry breaking) vacua. We construct these supergravity solutions explicitly and match them with the gauge theory with different sets of vacuum expectation values of the bi-fundamental fields A_1, A_2, B_1, B_2. For the resolved conifold, we find a non-singular SU(2)\times U(1)\times U(1) symmetric warped solution produced by a stack of D3-branes localized at a point on the blown-up 2-sphere. It describes a smooth RG flow from AdS_5 \times T^{1,1} in the UV to AdS_5 \times S^5 in the IR, produced by giving a VEV to just one field, e.g. B_2. The presence of a condensate of baryonic operator det B_2 is confirmed using a Euclidean D3-brane wrapping a 4-cycle inside the resolved conifold. The Green's functions on the singular and resolved conifolds are central to our calculations and are discussed in some detail.
22 pages, 2 figures, v2 added note on wrapped euclidean D3 brane, other minor corrections
References in corpus (32)
- Gauge Theory Correlators from Non-Critical String Theory
- Large N Field Theories, String Theory and Gravity
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Supergravity and a Confining Gauge Theory: Duality Cascades and SB-Resolution of Naked Singularities
- AdS/CFT Correspondence and Symmetry Breaking
- Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
- Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
- Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
- An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
- Supersymmetric AdS_5 solutions of M-theory
- Einstein manifolds and conformal field theories
- On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes
- Dynamics of warped compactifications and the shape of the warped landscape
- General Kerr-NUT-AdS Metrics in All Dimensions
- Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory
- Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's
- The Baryonic Branch of Klebanov-Strassler Solution: a Supersymmetric Family of SU(3) Structure Backgrounds
- Holographic Renormalization of Probe D-Branes in AdS/CFT
- On the Moduli Space of the Cascading SU(M+p)xSU(p) Gauge Theory
- PP Wave Limit and Enhanced Supersymmetry in Gauge Theories
- Unquenched Flavors in the Klebanov-Witten Model
- Remarks on the Warped Deformed Conifold
- Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold
- 3-branes on resolved conifold
- Kaluza-Klein Holography
- Cascading RG Flows from New Sasaki-Einstein Manifolds
- Holographic Coulomb branch vevs
- 3-branes on spaces with R x S^2 x S^3 topology
- Explicit Toric Metric on Resolved Calabi-Yau Cone
- The Gauge/Gravity Theory of Blown up Four Cycles
- A new Ricci flat geometry
- Supersymmetric solutions based on Y^{p,q} and L^{p,q,r}
Cited by in corpus (64)
- Oscillations in the CMB from Axion Monodromy Inflation
- D3-brane Potentials from Fluxes in AdS/CFT
- 5d quivers and their AdS(6) duals
- Holographic Systematics of D-brane Inflation
- Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
- Supersymmetry and non-Abelian T-duality in type II supergravity
- Non-supersymmetric infrared perturbations to the warped deformed conifold
- Warping the Weak Gravity Conjecture
- The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory
- Universality in D-brane Inflation
- Axion Monodromy Inflation on Warped Throats
- Multifield consequences for D-brane inflation
- Symmetry-breaking vacua and baryon condensates in AdS/CFT
- The Mesonic Branch of the Deformed Conifold
- AdS_5 Solutions of Type IIB Supergravity and Generalized Complex Geometry
- Fat Inflatons, Large Turns and the -problem
- Baryonic symmetries and M5 branes in the AdS_4/CFT_3 correspondence
- Conifolds and Geometric Transitions
- D-brane Potentials in the Warped Resolved Conifold and Natural Inflation
- Gauge vector field localization on 3-brane placed in a warped transverse resolved conifold
- Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
- Holographic Flows in non-Abelian T-dual Geometries
- D-terms on the resolved conifold
- Baryonic branches and resolutions of Ricci-flat Kahler cones
- String Necklaces and Primordial Black Holes from Type IIB Strings
- The a-theorem and conformal symmetry breaking in holographic RG flows
- A Toolkit for Perturbing Flux Compactifications
- E3-brane instantons and baryonic operators for D3-branes on toric singularities
- Warping and F-term uplifting
- Thermal order in large N conformal gauge theories
- Black Holes in Cascading Theories: Confinement/Deconfinement Transition and other Thermal Properties
- Fermions in a warped resolved conifold
- Goldstone Bosons and Global Strings in a Warped Resolved Conifold
- Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions
- Green's Functions and Non-Singlet Glueballs on Deformed Conifolds
- (Un)Higgsing the M2-brane
- M2-branes on a resolved
- Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories
- M2-brane Flows and the Chern-Simons Level
- Gauge/Gravity Duality in Heterotic String Theory
- 3-Branes on Eguchi-Hanson 6D Instantons
- Gauge Theory RG Flows from a Warped Resolved Orbifold
- Pseudo-3-Branes in a Curved 6D Bulk
- The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
- Supersymmetric Tools in Yang-Mills Theories at Strong Coupling: the Beginning of a Long Journey
- A Note on Supersymmetric Type II Solutions of Lifshitz Type
- Sharp Predictions from Eternal Inflation Patches in D-brane Inflation
- Gauge/gravity duality and RG flows in 5d gauge theories
- Warped Resolved L^{a,b,c} Cones
- Bounding the Heat Trace of a Calabi-Yau Manifold
- Aspects of the moduli space of instantons on and its orbifolds
- Holographic Effective Field Theories
- Non-Abelian Vortex in Four Dimensions as a Critical Superstring
- Gauge-String Dualities and Some Applications
- Gravitational and Yang-Mills instantons in holographic RG flows
- Renormalization group flows in gauge-gravity duality
- Brane Resolution Through Fibration
- Spinflation with backreaction
- Comments on the N=1 SU(M+p)xSU(p) quiver gauge theory with flavor
- A deformed conifold with a cosmological constant
- Brane resolution in heterotic theory through BF term
- The AdS/CFT Correspondence and Symmetry Breaking
- Semiclassics of three-dimensional SCFTs from holography
- Holographic RG flows in N=4 SCFTs from half-maximal gauged supergravity