Sphere partition functions and cut-off AdS

Abstract

We consider sphere partition functions of TT deformed large N conformal field theories in d=2,3,4,5 and 6 dimensions, computed using the flow equation. These are shown to non-perturbatively match with bulk computations of $Ad{S}_{d+1}$ with a finite radial cut-off. We then demonstrate how the flow equation can be independently derived from a regularization procedure in defining TT operators through a local Callan-Symanzik equation. Finally, we show that the sphere partition functions, modulo bulk-counterterm contributions, can be reproduced from Wheeler-DeWitt wave functions.

30 pages, v2 references and clarifications added, v3 matches published version

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Cited by in corpus (57)

• $T\bar{T}$ and the mirage of a bulk cutoff
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• Holography from the Wheeler-DeWitt equation
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• Comments on Holographic Entanglement Entropy in TT Deformed CFTs
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• Gravitational path integral from the $T^2$ deformation
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• Geometrizing $T\bar{T}$
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• 3D Gravity in a Box
• Random Boundary Geometry and Gravity Dual of $T\bar{T}$ Deformation
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• Field Theory of Interacting Boundary Gravitons
• Surface/State correspondence and $T\overline{T}$ deformation
• Heating up holography for single-trace $J\bar{T}$ deformations
• Cutoff $\mathrm{Ad}{\mathrm{S}}_3$ versus $\mathrm{T}\bar{\mathrm{T}}$ $\mathrm{CF}{\mathrm{T}}_2$ in the large central charge sector: correlators of energy-momentum tensor
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Conformal Boundary Conditions from Cutoff AdS${}_3$
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Geometrizing non-relativistic bilinear deformations
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• $T\bar{T}$-flow effects on torus partition functions
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• Quantum corrections to finite radius holography and holographic entanglement entropy
• Building Tensor Networks for Holographic States
• $T\bar{T}$ flow as characteristic flows
• Note on the nonrelativistic $T\bar{T}$ deformation
• Complexity of Hyperscaling Violating Theories at Finite Cutoff
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Q-curvature and Path Integral Complexity
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• Irrelevant Deformations of Chiral Bosons
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• $T\overline{T}$-deformed free energy of the Airy model
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Mixed state entanglement in deformed field theory at finite temperature
• Chiral Decoupling from Irrelevant Deformations
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$