On 2D gauge theories in Jackiw-Teitelboim gravity
arXiv:1909.05253
Abstract
The low-energy behavior of near-extremal black holes can be understood from the near-horizon AdS_2 region. In turn, this region is effectively described by using Jackiw-Teitelboim gravity coupled to Yang-Mills theory through the two-dimensional metric and the dilaton field. We show that such a two-dimensional model of gravity coupled to gauge fields is soluble for an arbitrary choice of gauge group and gauge couplings. Specifically, we determine the partition function of the theory on two-dimensional surfaces of arbitrary genus and with an arbitrary number of boundaries. When solely focusing on the contribution from surfaces with disk topology, we show that the gravitational gauge theory is described by the Schwarzian theory coupled to a particle moving on the gauge group manifold. When considering the contribution from all genera, we show that the theory is described by a particular double-scaled matrix integral, where the elements of the matrix are functions that map the gauge group manifold to complex or real numbers. Finally, we compute the expectation value of various diffeomorphism invariant observables in the gravitational gauge theory and find their exact boundary description.
59 pages and 4 figures, v2 corrected typos
References in corpus (13)
- An Investigation of AdS Backreaction and Holography
- Uncolored Random Tensors, Melon Diagrams, and the SYK Models
- A Generalization of Sachdev-Ye-Kitaev
- Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
- JT gravity as a matrix integral
- All point correlation functions in SYK
- Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
- Universal low temperature theory of charged black holes with AdS horizons
- SYK Models and SYK-like Tensor Models with Global Symmetry
- A 2d/1d Holographic Duality
- Cosmological constant as confining U(1) charge in two-dimensional dilaton gravity
- A generating function of the number of homomorphisms from a surface group into a finite group
- What's wrong with the growth of simple closed geodesics on nonorientable hyperbolic surfaces
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- Free Energy from Replica Wormholes
- A violation of global symmetries from replica wormholes and the fate of black hole remnants
- Euclidean wormhole in the SYK model
- New boundary conditions for AdS
- Supergroup Structure of Jackiw-Teitelboim Supergravity
- The statistical mechanics of near-BPS black holes
- Wormholes in Quantum Mechanics
- Baby universes, ensemble averages and factorizations with matters
- Charge fluctuation entropy of Hawking radiation: a replica-free way to find large entropy