Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect

被引:11
作者
Mefford, Eric [1 ]
Suzuki, Kenta [1 ]
机构
[1] Ecole Polytech, Inst Polytech Paris, CNRS, CPHT, Route Saclay, F-91128 Palaiseau, France
基金
欧洲研究理事会;
关键词
2D Gravity; AdS-CFT Correspondence; Field Theories in Lower Dimensions; Gauge-gravity correspondence; WEDGE; FIELD;
D O I
10.1007/JHEP05(2021)026
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study the theory of Jackiw-Teitelboim 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 manifold. 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 calculate the wavefunctions and propagators of the corresponding gravitational dynamics. With this method we are able to reproduce the gravitational density of states as well as compute the Reyni and entanglement entropies for the Hartle-Hawking state. While we reproduce the classical entropy at high temperature, we also find an extra topological contribution that becomes dominant at low temperatures. We then show how the presence of defects modify correlation functions, including the out-of-time-ordered correlation, and decrease the Lyapunov exponent. This is achieved two ways: by directly quantizing the boundary Schwarzian theory and by dimensionally reducing SL(2, Z) black holes.
引用
收藏
页数:55
相关论文
共 78 条
  • [1] Leading order corrections to the quantum extremal surface prescription
    Akers, Chris
    Penington, Geoff
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (04)
  • [2] Albeverio S., 1988, SOLVABLE MODELS QUAN, DOI 10.1007/978-3-642-88201-2
  • [3] Replica wormholes and the entropy of Hawking radiation
    Almheiri, Ahmed
    Hartman, Thomas
    Maldacena, Juan
    Shaghoulian, Edgar
    Tajdini, Amirhossein
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (05)
  • [4] The Page curve of Hawking radiation from semiclassical geometry
    Almheiri, Ahmed
    Mahajan, Raghu
    Maldacena, Juan
    Zhao, Ying
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (03)
  • [5] The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
    Almheiri, Ahmed
    Engelhardt, Netta
    Marolf, Donald
    Maxfield, Henry
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (12)
  • [6] Models of AdS2 backreaction and holography
    Almheiri, Ahmed
    Polchinski, Joseph
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2015, (11): : 1 - 19
  • [7] [Anonymous], HEPTH9501106
  • [8] [Anonymous], 1896, Proc. London Math. Soc.
  • [9] [Anonymous], P LONDON MATH SOC
  • [10] [Anonymous], ARXIV180706575, Patent No. 180706575