Infinite-genus surfaces and the universal Grassmannian

Details Infinite-genus surfaces and the universal Grassmannian Infinite-genus surfaces and the universal Grassmannian

1995-05-26

arxiv.org/abs/hep-th/9505163v3

Phys.Lett. B359 (1995) 93-100

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, TeX, 3 figures. The July, 1995 version contains an expanded introduction

Scientific paper

10.1016/0370-2693(95)01009-F

Correlation functions can be calculated on Riemann surfaces using the operator formalism. The state in the Hilbert space of the free field theory on the punctured disc, corresponding to the Riemann surface, is constructed at infinite genus, verifying the inclusion of these surfaces in the Grassmannian. In particular, a subset of the class of $O_{HD}$ surfaces can be identified with a subset of the Grassmannian. The concept of flux through the ideal boundary is used to study the connection between infinite-genus surface and the domain of string perturbation theory. The different roles of effectively closed surfaces with Dirichlet boundaries in a more complete formulation of string theory are identified.

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