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Dynamics of black holes in Jackiw-Teitelboim gravity

High Energy Physics - Theory 2020-05-06 v4 Strongly Correlated Electrons General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We present a general solution for correlators of external boundary operators in black hole states of Jackiw-Teitelboim gravity. We use the Hilbert space constructed using the particle-with-spin interpretation of the Jackiw-Teitelboim action, which consists of wavefunctions defined on Lorentzian AdS2AdS_2. The density of states of the gravitational system appears in the amplitude for a boundary particle to emit and reabsorb matter. Up to self-interactions of matter, a general correlator can be reduced in an energy basis to a product of amplitudes for interactions and Wilson polynomials mapping between boundary and bulk interactions.

Keywords

Cite

@article{arxiv.1912.00861,
  title  = {Dynamics of black holes in Jackiw-Teitelboim gravity},
  author = {S. Josephine Suh},
  journal= {arXiv preprint arXiv:1912.00861},
  year   = {2020}
}

Comments

16 pages plus appendices, 9 figures. v.2: extended appendices, minor changes. v.3: added references, minor changes. v.4: minor corrections