ISSN:
1573-0530
Schlagwort(e):
83E30
;
81T30
;
14C17
;
two-dimensional quantum gravity
;
Riemann surfaces
;
Painlevé I recursion relations
;
Weil-Petersson two-forms
;
Llouville path integral
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
,
Physik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00714381
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