Averaging over moduli in deformed WZW models
arXiv:2105.12594 · doi:10.1007/JHEP09(2021)185
Abstract
WZW models live on a moduli space parameterized by current-current deformations. The moduli space defines an ensemble of conformal field theories, which generically have abelian conserved currents and central charge . We calculate the average partition function and show that it can be interpreted as a sum over 3-manifolds. This suggests that the ensemble-averaged theory has a holographic dual, generalizing recent results on Narain CFTs. The bulk theory, at the perturbative level, is identified as Chern-Simons theory coupled to additional matter fields. From a mathematical perspective, our principal result is a Siegel-Weil formula for the characters of an affine Lie algebra.
arXiv comment22+17 pages
References in corpus (43)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Replica Wormholes and the Entropy of Hawking Radiation
- Symmetries and Strings in Field Theory and Gravity
- AdS3 Black Holes and a Stringy Exclusion Principle
- Quantum Gravity Partition Functions in Three Dimensions
- Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
- An AdS_3 Dual for Minimal Model CFTs
- Wormholes in AdS
- Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
- Monopoles, Duality, and String Theory
- Constraints on symmetry from holography
- Deriving the Correspondence
- AdS gravity and random CFT
- The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
- Tensionless String Spectra on
- Averaging Over Narain Moduli Space
- Euclidean Wormholes in String Theory
- Free partition functions and an averaged holographic duality
- Exact Duality Symmetries in CFT and String Theory
- Superstrings on NS5 backgrounds, deformed AdS3 and holography
- A universal Schwarzian sector in two-dimensional conformal field theories
- Lightcone Modular Bootstrap and Pure Gravity
- A violation of global symmetries from replica wormholes and the fate of black hole remnants
- Global symmetry, Euclidean gravity, and the black hole information problem
- The Gravity Dual of the Ising Model
- Summing over Geometries in String Theory
- Sphere Packing and Quantum Gravity
- Partition functions of the tensionless string
- Current-Current Deformations of Conformal Field Theories, and WZW Models
- Signatures of global symmetry violation in relative entropies and replica wormholes
- Boundary WZW, G/H, G/G and CS theories
- High-dimensional sphere packing and the modular bootstrap
- AdS wormholes from a modular bootstrap
- String Theory on Warped AdS_3 and Virasoro Resonances
- Kac-Moody and Virasoro Characters from the Perturbative Chern-Simons Path Integral
- Chern-Simons Gauge Theory and the AdS(3)/CFT(2) Correspondence
- Poincaré Series, 3d Gravity and Averages of Rational CFT
- Gravitational dual of averaged free CFT's over the Narain lattice
- Large-N limits of 2d CFTs, Quivers and AdS_3 duals
- Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions
- Coset Constructions in Chern-Simons Gauge Theory
- AdS2xS2 as an exact heterotic string background
- Comments on single trace and other current-current deformations
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- Harnessing S-Duality in SYM & Supergravity as -Averaged Strings
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- Holographic description of Narain CFTs and their code-based ensembles
- A note on ensemble holography for rational tori
- Wormholes and surface defects in rational ensemble holography
- (Half) Wormholes under Irrelevant Deformation
- Charge fluctuation entropy of Hawking radiation: a replica-free way to find large entropy
- Baby universes, ensemble averages and factorizations with matters
- Factorization and global symmetries in holography
- A universal sum over topologies in 3d gravity