Gravitational wavefunctions in JT supergravity
arXiv:2405.09289 · doi:10.1007/JHEP10(2024)037
Abstract
We determine explicit expressions for the continuous two-sided gravitational wavefunctions in supersymmetric versions of JT gravity, focusing mainly on JT supergravity. Our approach is based on representation theory of the associated supergroup, for which we determine the relevant mixed parabolic matrix elements that implement asymptotic AdS boundary conditions at the quantum level. We match our expressions with those found by solving the energy-eigenvalue equation of arXiv:2207.00408. We discuss gravitational applications by computing several amplitudes of interest, and address how our framework can be generalized further.
54 pages, v2: matches published version
References in corpus (44)
- Chaos in AdS holography
- An Investigation of AdS Backreaction and Holography
- Dilaton Gravity in Two Dimensions
- Fermionic Localization of the Schwarzian Theory
- Solving the Schwarzian via the Conformal Bootstrap
- Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
- The Quantum Gravity Dynamics of Near Extremal Black Holes
- On the Dynamics of Near-Extremal Black Holes
- Towards a full solution of the large N double-scaled SYK model
- The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
- The Schwarzian Theory - Origins
- The bulk Hilbert space of double scaled SYK
- Statistical mechanics of a two-dimensional black hole
- Unitary representations of $U_{q}(\mathfrak{sl}(2,\RR))$, the modular double, and the multiparticle q-deformed Toda chains
- The Schwarzian Theory - A Wilson Line Perspective
- Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
- An exact quantization of Jackiw-Teitelboim gravity
- Liouville quantum gravity -- holography, JT and matrices
- Shockwave S-matrix from Schwarzian Quantum Mechanics
- Nearly AdS2 Sugra and the Super-Schwarzian
- JT gravity, KdV equations and macroscopic loop operators
- Fine Structure of Jackiw-Teitelboim Quantum Gravity
- The Virasoro Minimal String
- A symmetry algebra in double-scaled SYK
- Eigenbranes in Jackiw-Teitelboim gravity
- Dilaton-gravity, deformations of the minimal string, and matrix models
- Gravity factorized
- Looking at supersymmetric black holes for a very long time
- The double scaled limit of Super--Symmetric SYK models
- Dynamical actions and q-representation theory for double-scaled SYK
- Holography for people with no time
- From Quantum Groups to Liouville and Dilaton Quantum Gravity
- AdS_2 Supergravity and Superconformal Quantum Mechanics
- Towards the Holographic Dual of N = 2 SYK
- Comments on 2D dilaton gravity system with a hyperbolic dilaton potential
- Field Theory of Interacting Boundary Gravitons
- Structure constants of the OSP(1|2) WZNW model
- Near-Extremal Limits of de Sitter Black Holes
- Supergroup Structure of Jackiw-Teitelboim Supergravity
- Gravitational perturbations from NHEK to Kerr
- Phases of Sachdev-Ye-Kitaev models
- Supergroup - extended super Liouville correspondence
- Quantum gravity of the Heisenberg algebra
- Branes in JT (super)gravity from group theory