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Fine structure of Jackiw-Teitelboim quantum gravity

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Abstract
We investigate structural aspects of JT gravity through its BF description. In particular, we provide evidence that JT gravity should be thought of as (a coset of) the noncompact subsemigroup SL+(2, R) BF theory. We highlight physical implications, including the famous Plancherel measure sinh 2 pi root E. Exploiting this perspective, we inves- tigate JT gravity on more generic manifolds with emphasis on the edge degrees of freedom on entangling surfaces and factorization. It is found that the one-sided JT gravity degrees of freedom are described not just by a Schwarzian on the asymptotic boundary, but also include frozen SL+(2, R) degrees of freedom on the horizon, identifiable as JT gravity black hole states. Configurations with two asymptotic boundaries are linked to 2d Liouville CFT on the torus surface.
Keywords
WEIL-PETERSSON VOLUMES, DUAL STRING SPECTRUM, GAUGE-THEORIES, ASYMPTOTIC, DYNAMICS, COADJOINT ORBITS, GROUP MANIFOLD, MODULI SPACES, FIELD-THEORY, QUANTIZATION, LIOUVILLE, 2D Gravity, Black Holes, Topological Field Theories, Field Theories in, Lower Dimensions

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MLA
Blommaert, Andreas, et al. “Fine Structure of Jackiw-Teitelboim Quantum Gravity.” JOURNAL OF HIGH ENERGY PHYSICS, no. 9, 2019, doi:10.1007/JHEP09(2019)066.
APA
Blommaert, A., Mertens, T., & Verschelde, H. (2019). Fine structure of Jackiw-Teitelboim quantum gravity. JOURNAL OF HIGH ENERGY PHYSICS, (9). https://doi.org/10.1007/JHEP09(2019)066
Chicago author-date
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. 2019. “Fine Structure of Jackiw-Teitelboim Quantum Gravity.” JOURNAL OF HIGH ENERGY PHYSICS, no. 9. https://doi.org/10.1007/JHEP09(2019)066.
Chicago author-date (all authors)
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. 2019. “Fine Structure of Jackiw-Teitelboim Quantum Gravity.” JOURNAL OF HIGH ENERGY PHYSICS (9). doi:10.1007/JHEP09(2019)066.
Vancouver
1.
Blommaert A, Mertens T, Verschelde H. Fine structure of Jackiw-Teitelboim quantum gravity. JOURNAL OF HIGH ENERGY PHYSICS. 2019;(9).
IEEE
[1]
A. Blommaert, T. Mertens, and H. Verschelde, “Fine structure of Jackiw-Teitelboim quantum gravity,” JOURNAL OF HIGH ENERGY PHYSICS, no. 9, 2019.
@article{8636943,
  abstract     = {{We investigate structural aspects of JT gravity through its BF description. In particular, we provide evidence that JT gravity should be thought of as (a coset of) the noncompact subsemigroup SL+(2, R) BF theory. We highlight physical implications, including the famous Plancherel measure sinh 2 pi root E. Exploiting this perspective, we inves- tigate JT gravity on more generic manifolds with emphasis on the edge degrees of freedom on entangling surfaces and factorization. It is found that the one-sided JT gravity degrees of freedom are described not just by a Schwarzian on the asymptotic boundary, but also include frozen SL+(2, R) degrees of freedom on the horizon, identifiable as JT gravity black hole states. Configurations with two asymptotic boundaries are linked to 2d Liouville CFT on the torus surface.}},
  articleno    = {{066}},
  author       = {{Blommaert, Andreas and Mertens, Thomas and Verschelde, Henri}},
  issn         = {{1029-8479}},
  journal      = {{JOURNAL OF HIGH ENERGY PHYSICS}},
  keywords     = {{WEIL-PETERSSON VOLUMES,DUAL STRING SPECTRUM,GAUGE-THEORIES,ASYMPTOTIC,DYNAMICS,COADJOINT ORBITS,GROUP MANIFOLD,MODULI SPACES,FIELD-THEORY,QUANTIZATION,LIOUVILLE,2D Gravity,Black Holes,Topological Field Theories,Field Theories in,Lower Dimensions}},
  language     = {{eng}},
  number       = {{9}},
  pages        = {{71}},
  title        = {{Fine structure of Jackiw-Teitelboim quantum gravity}},
  url          = {{http://doi.org/10.1007/JHEP09(2019)066}},
  year         = {{2019}},
}

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