An AdS/EFT correspondence at large charge

Abstract

Considering theories in sectors of large global charge $Q$ results in a semiclassical effective field theory (EFT) description for some strongly-coupled conformal field theories (CFTs) with continuous global symmetries. Hence, when studying dualities at large charge, we can have control over the strongly coupled side of the duality and gain perturbative access to both dual pairs. In this work we discuss the AdS/CFT correspondence in the regime $Q\gg C_T\gg 1$ where both the EFT and gravity descriptions are valid and stable ($C_T$ being the central charge). We present the observation that the ground state energy as a function of the Abelian charge $Q$ for a simple EFT in some three-dimensional CFT coincides with the expression for the mass of an anti-de Sitter-Reissner-Nordström black hole as a function of its charge. This observation allows us to introduce a dictionary relating CFT, EFT and holographic descriptions. We also find agreement for the higher-derivative corrections on both sides, suggesting a large-$C_T$ expansion on the EFT side.

arXiv comment23 pages. Matches published version in Nucl.Phys.B

References in corpus (35)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• A Stress Tensor for Anti-de Sitter Gravity
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Bounding scalar operator dimensions in 4D CFT
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Solving the 3D Ising Model with the Conformal Bootstrap
• Holographic c-theorems in arbitrary dimensions
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
• Holographic model of superfluidity
• Black Holes and Superconformal Mechanics
• Semiclassics, Goldstone Bosons and CFT data
• Compensating strong coupling with large charge
• Cardy-Verlinde Formula and AdS Black Holes
• Shear Modes, Criticality and Extremal Black Holes
• Conformal dimensions via large charge expansion
• Weak Gravity Conjecture in AdS/CFT
• Conformal Bootstrap At Large Charge
• C_{T} and C_{J} up to next-to-leading order in 1/N in the Conformally Invariant O(N) Vector Model for 2<d<4
• A limit for large $R$-charge correlators in $\mathcal{N}=2$ theories
• Universal correlation functions in rank 1 SCFTs
• The Exact Superconformal R-symmetry Minimizes ${\tau }_{RR}$
• Rotating superfluids and spinning charged operators in conformal field theory
• Structure of Lanczos-Lovelock Lagrangians in Critical Dimensions
• Partition function on spheres: how (not) to use zeta function regularization
• Abelian scalar theory at large global charge
• Black Holes and Quantum Mechanics
• Holographic bulk reconstruction beyond (super)gravity

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• Black hole bulk-cone singularities
• Nonrelativistic Conformal Field Theories in the Large Charge Sector
• The large-charge expansion for Schrödinger systems
• Transition of Large $R$-Charge Operators on a Conformal Manifold
• Revisiting the AdS Boson Stars: the Mass-Charge Relations
• Following the flow for large N and large charge
• Numerical tests of the large charge expansion
• Bootstrap bound on extremal Reissner-Nordström black hole in AdS
• Superfluids, vortices and spinning charged operators in 4d CFT
• The large charge expansion and AdS/CFT
• Large-Charge Limit of AdS Boson Stars with Mixed Boundary Conditions
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• Chern-Simons-Matter Theories at Large Baryon Number
• Higher-Derivative Corrections to Entropy and the Weak Gravity Conjecture in Anti-de Sitter Space
• Lumos Extrema
• Large charge operators at large spin from relativistically rotating vortices
• Holography, Supergravity, and the Weak Gravity Conjecture
• Semiclassics of three-dimensional SCFTs from holography