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Title: 2D Dilaton Gravity and the Weil–Petersson Volumes with Conical Defects

Journal Article · · Communications in Mathematical Physics
ORCiD logo [1];  [2]
  1. Institute for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study
  2. Institute for Advanced Study, Princeton, NJ (United States); University of Washington, Seattle, WA (United States)
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We derive the Weil-Petersson measure on the moduli space of hyperbolic surfaces with defects of arbitrary opening angles and use this to compute its volume. We conjecture a matrix integral computing the corresponding volumes and confirm agreement in simple cases. Here, we combine this mathematical result with the equivariant localization approach to Jackiw-Teitelboim gravity to justify a proposed exact solution of pure 2d dilaton gravity for a large class of dilaton potentials.

Research Organization:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0009988
OSTI ID:
2460493
Journal Information:
Communications in Mathematical Physics, Journal Name: Communications in Mathematical Physics Journal Issue: 4 Vol. 405; ISSN 0010-3616
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

97 MATHEMATICS AND COMPUTING