Extension of Geodesic Algebras to Continuous Genus

Author： Chekhov L.   Nelson J.   Regge T.  

Publisher： Springer Publishing Company

ISSN： 0377-9017

Source： Letters in Mathematical Physics, Vol.78, Iss.1, 2006-10, pp. : 17-26

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Abstract

Using the Penner–Fock parameterization for Teichmüller spaces of Riemann surfaces with holes, we construct the string-like free-field representation of the Poisson and quantum algebras of geodesic functions in the continuous-genus limit.

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