Kaluza-Klein Holography

Abstract

We construct a holographic map between asymptotically AdS_5 x S^5 solutions of 10d supergravity and vacuum expectation values of gauge invariant operators of the dual QFT. The ingredients that enter in the construction are (i) gauge invariant variables so that the KK reduction is independent of any choice of gauge fixing; (ii) the non-linear KK reduction map from 10 to 5 dimensions (constructed perturbatively in the number of fields); (iii) application of holographic renormalization. A non-trivial role in the last step is played by extremal couplings. This map allows one to reliably compute vevs of operators dual to any KK fields. As an application we consider a Coulomb branch solution and compute the first two non-trivial vevs, involving operators of dimension 2 and 4, and reproduce the field theory result, in agreement with non-renormalization theorems. This constitutes the first quantitative test of the gravity/gauge theory duality away from the conformal point involving a vev of an operator dual to a KK field (which is not one of the gauged supergravity fields).

47 pages, v2: minor improvements, version to appear in JHEP

References in corpus (24)

• Gauge Theory Correlators from Non-Critical String Theory
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• AdS/CFT Correspondence and Symmetry Breaking
• On the Holographic Renormalization Group
• How to go with an RG Flow
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• The Coulomb Branch of Gauge Theory from Rotating Branes
• Holography and the Weyl anomaly
• Continuous distributions of D3-branes and gauged supergravity
• Correlation Functions in Holographic RG Flows
• A non-renormalization theorem for conformal anomalies
• Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
• Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
• Some Cubic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$ and Three-point Functions in SYM_4 at Large N
• Scalar Quartic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$
• AdS_5/CFT_4 Four-point Functions of Chiral Primary Operators: Cubic Vertices
• Near-extremal correlators and vanishing supergravity couplings in AdS/CFT
• Rotational Perturbations of Friedmann-Robertson-Walker Type Brane-World Cosmological Models
• Quadratic action for type IIB supergravity on $Ad{S}_5\times S^5$

Cited by in corpus (72)

• Mesons in Gauge/Gravity Duals - A Review
• Holographic Heat Engines
• Real-time gauge/gravity duality: Prescription, Renormalization and Examples
• The fuzzball proposal for black holes
• Thermodynamics of the brane
• On the Dynamics of Near-Extremal Black Holes
• Fuzzballs with internal excitations
• Holographic anatomy of fuzzballs
• Holography for Schrodinger backgrounds
• Holographic renormalization as a canonical transformation
• Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates
• Anatomy of bubbling solutions
• Gauge/Gravity Duality and Warped Resolved Conifold
• Near-horizon solutions for D3-branes ending on 5-branes
• Matching of correlators in AdS_3/CFT_2
• Holographic Coulomb branch vevs
• A consistent truncation of IIB supergravity on manifolds admitting a Sasaki-Einstein structure
• A Critique of the Fuzzball Program
• AdS${}_2$ Holography: Mind the Cap
• Correlators at large c without information loss
• AdS${}_3$ Holography at Dimension Two
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Localised $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Black Holes
• AdS/Ricci-flat correspondence
• Symmetry-breaking vacua and baryon condensates in AdS/CFT
• Holographic d-wave superconductors
• Supercharged AdS${}_3$ Holography
• 1/8 BPS States in Ads/CFT
• Unitarization from Geometry
• Holographic Correlators for General Gauge Mediation
• Generating Charge from Diffeomorphisms
• Extremal Three-point Correlators in Kerr/CFT
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• On the Oscillation of Species
• Notes on a SQCD-like plasma dual and holographic renormalization
• Correlators Of Operators with a Large R-charge
• Generalized entanglement entropy
• The 10d Uplift of the GPPZ Solution
• Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• Entanglement Entropy and D1-D5 geometries
• Schrödinger Deformations of AdS_3 x S^3
• Holography and Renormalization in Lorentzian Signature
• New phases of $\mathcal{N}=4$ SYM at finite chemical potential
• Entanglement entropy and differential entropy for massive flavors
• From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT
• Exact Holography of the Mass-deformed M2-brane Theory
• Matrix model holography
• Entanglement entropy in top-down models
• Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
• An AdS/CFT Connection between Boltzmann and Einstein
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Fast Scrambling of mutual information in Kerr-AdS${}_{\text{5}}$
• The self-tuning of the cosmological constant and the holographic relaxion
• Gauged diffeomorphisms and hidden symmetries in Kaluza-Klein theories
• Spin-1/2 fermionic operators of $\mathcal{N}=4$ SYM theory and DIS from type IIB supergravity
• Warped Resolved L^{a,b,c} Cones
• Large-N transitions of the connectivity index
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• States of Negative Energy and $Ad{S}_5\times S_5/Z_k$
• Half BPS states in AdS_5 x Y^{p,q}
• Renormalized Holographic Subregion Complexity under Relevant Perturbations
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Kaluza-Klein reductions and AdS/Ricci-flat correspondence
• JT gravity and near-extremal thermodynamics for Kerr black holes in $Ad{S}_{4,5}$ for rotating perturbations
• Critical lumpy black holes in AdS${}_p\times S^q$
• Holography of Massive M2-brane Theory with Discrete Torsion
• AdS/CFT and the geometry of an energy gap
• Precision holography of AdS${}_5$ bubbling geometries
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics