in JT Gravity and BF Gauge Theory
arXiv:2205.07817 · doi:10.21468/SciPostPhys.13.4.096
Abstract
JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of gravity. We consider -type deformations of the -dimensional dual to this BF theory and interpret the deformation as a modification of the BF theory boundary conditions. The fundamental observables in this deformed BF theory, and in its Chern-Simons lift, are Wilson lines and loops. In the Chern-Simons setting, we study modifications to correlators involving boundary-anchored Wilson lines which are induced by a deformation on the boundary; results are presented at both the classical level (using modified boundary conditions) and the quantum-mechanical level (using conformal perturbation theory). Finally, we calculate the analogous deformed Wilson line correlators in BF theory below the Hagedorn temperature where the principal series dominates over the discrete series.
92 pages
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Cited by in corpus (22)
- Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
- Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
- On the Classical Integrability of Root- Flows
- Interacting Chiral Form Field Theories and -like Flows in Six and Higher Dimensions
- Geometric formulation of generalized root- deformations
- Gravity and flows in higher dimensions
- Sequential Flows by Irrelevant Operators
- Root- Deformed Boundary Conditions in Holography
- Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
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- One-loop partition functions in -deformed AdS
- Geometric realization via irrelevant deformations induced by the stress-energy tensor
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