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Algebraic-geometrical formulation of two-dimensional quantum gravity (1996)

Bonelli, G. ; Marchetti, P. A. ; Matone, M.

Springer

Letters in mathematical physics 36 (1996), S. 189-196

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ISSN: 1573-0530

Keywords: 83E30 ; 81T30 ; 14C17 ; two-dimensional quantum gravity ; Riemann surfaces ; Painlevé I recursion relations ; Weil-Petersson two-forms ; Llouville path integral

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00714381

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