Kenta Suzuki (CPHT) on JT Gravity with Defects and the Aharonov-Bohm effect
Автор: IFT Webinars
Загружено: 2021-07-08
Просмотров: 84
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Abstract: Jackiw-Teitelboim (JT) gravity is remarkable, especially when it is defined on Euclidean negatively curved backgrounds. There is a strong evidence that if its partition function is defined as sum over all higher genus topologies, the dual theory of JT gravity is a random ensemble of some quantum mechanical systems rather than a specific theory. This is a “new” type of AdS/CFT correspondence, which is analogous to the “old” c=1 matrix/2d string duality.
We study JT gravity with generalized dilaton potential on Euclidean two-dimensional negatively curved backgrounds. The effect of the generalized dilaton potential is to induce a conical defect on the two-dimensional
manifolds. We show that this theory can be written as the ordinary quantum mechanics of a charged particle on a hyperbolic disk in the presence of a constant background magnetic field plus a pure gauge Aharonov-Bohm field. This picture allows us to exactly evaluate the corresponding dynamical gravitational degrees of freedom.
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