3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator

Abstract

In this paper, we compute the partition functions of $\mathcal{N}=1$ SUGRA for different boundary topologies, i.e. punctured sphere and torus, using super-Virasoro TQFT. We use fusion and modular kernels of the super-Liouville theory to compute the necklace-channel conformal block and showcase formalism by proving that the inner product holds for superconformal blocks, defined as states in the Hilbert space. Finally, we compute the out-of-time-order correlator for the torus topology with superconformal primary insertions as matter using the tools of super-Virasoro TQFT.

arXiv comment52 Pages, 4 Figures

References in corpus (83)

• Thermalization and its mechanism for generic isolated quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Black holes and the butterfly effect
• 2D Gravity and Random Matrices
• Fast Scramblers
• Operator Spreading in Random Unitary Circuits
• Chaos in quantum channels
• Conformal Four Point Functions and the Operator Product Expansion
• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
• Quantum Gravity Partition Functions in Three Dimensions
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Two-dimensional conformal field theory and the butterfly effect
• Wormholes in AdS
• Liouville Field Theory -- A decade after the revolution
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• The Worldsheet Dual of the Symmetric Product CFT
• Chaos, Complexity, and Random Matrices
• Out-of-time-order correlators in quantum mechanics
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Thermal Fluctuations in Quantized Chaotic Systems
• AdS${}_2$ holography and the SYK model
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Many-body chaos at weak coupling
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Random Statistics of OPE Coefficients and Euclidean Wormholes
• AdS${}_3$ gravity and random CFT
• Velocity-dependent Lyapunov exponents in many-body quantum, semi-classical, and classical chaos
• Averaging Over Narain Moduli Space
• Onset of many-body chaos in the $O(N)$ model
• Free partition functions and an averaged holographic duality
• Bootstrapping 3D Fermions
• Field Theories with Conformal Carrollian Symmetry
• Local Operators in the Eternal Black Hole
• Quantum Chaos and Holographic Tensor Models
• Semiclassical 3D gravity as an average of large-c CFTs
• Four-point functions in N=4 supersymmetric Yang-Mills theory at two loops
• The Schwarzian Theory - A Wilson Line Perspective
• Chaos and Complexity in Quantum Mechanics
• Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
• A universal Schwarzian sector in two-dimensional conformal field theories
• Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
• Lightcone Modular Bootstrap and Pure Gravity
• Multipoint Conformal Blocks in the Comb Channel
• Universal Dynamics of Heavy Operators in CFT${}_2$
• Structure Constants in the $N=1$ Super-Liouville Field Theory
• 2D CFT Partition Functions at Late Times
• Field Theories on Null Manifolds
• The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
• Solving 3d Gravity with Virasoro TQFT
• The Virasoro Minimal String
• Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
• Scrambling without chaos in RCFT
• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• Eisenstein series and automorphic representations
• Echoes of chaos from string theory black holes
• A proposal for 3d quantum gravity and its bulk factorization
• Four-point functions in N=2 superconformal field theories
• Conformal field theory and the web of quantum chaos diagnostics
• Narain to Narnia
• Recursion representation of the Neveu-Schwarz superconformal block
• AdS_3 Partition Functions Reconstructed
• Conformal bootstrap to Rényi entropy in 2D Liouville and super-Liouville CFTs
• 3d gravity from Virasoro TQFT: Holography, wormholes and knots
• Holographic duals of large-c torus conformal blocks
• Teichmuller TQFT vs Chern-Simons Theory
• On the N=1 super Liouville four-point functions
• Multiboundary wormholes and OPE statistics
• Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
• Out-of-Time-Order correlators in driven conformal field theories
• Logarithmic N=1 superconformal field theories
• Out-of-Time-Ordered Correlators in $(T^2{)}^n/{\mathbb{Z}}_n$
• Large-c superconformal torus blocks
• Monodromy methods for torus conformal blocks and entanglement entropy at large central charge
• Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT
• BMS Modular Diaries: Torus one-point function
• A pedagogical discussion of N = 1 four-dimensional supergravity in superspace
• $T\overline{T}$-deformed free energy of the Airy model
• Comments on fusion matrix in N=1 super Liouville field theory
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor

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