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Algebraic - geometrical formulation of two-dimensional quantum gravity

Bonelli, G.
•
Marchetti, P. A.
•
Matone, M.
1996
  • journal article

Periodico
LETTERS IN MATHEMATICAL PHYSICS
Abstract
We find a volume form on moduli space of double-punctured Riemann surfaces whose integral satisfies the Painlevé I recursion relations of the genus expansion of the specific heat of 2D gravity. This allows us to express the asymptotic expansion of the specific heat as an integral on an infinite-dimensional moduli space in the spirit of the Friedan-Shenker approach. We outline a conjectural derivation of such recursion relations using the Duistermaat-Heckman theorem.
DOI
10.1007/BF00714381
WOS
WOS:A1996TU24500009
Archivio
http://hdl.handle.net/20.500.11767/14597
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-0001667033
https://arxiv.org/abs/hep-th/9502089
Diritti
closed access
Soggetti
  • two-dimensional quant...

  • Riemann surface

  • Painlevé I recursion...

  • Weil-Petersson two-fo...

  • Llouville path integr...

  • Settore FIS/02 - Fisi...

Scopus© citazioni
4
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Web of Science© citazioni
7
Data di acquisizione
Mar 21, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
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