We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional gravity. The quantization of this theory in the unitary gauge can be consistently performed taking into account all the topological sectors arising from the gauge-fixing procedure. The resulting theory is naturally interpreted as a Matrix String Theory, that is as a theory of covering maps from a two-dimensional world-sheet to the target Riemann surface.

Generalized two-dimensional Yang-Mills theory is a matrix string theory

BILLO', Marco;CASELLE, Michele;PROVERO, Paolo
2000

Abstract

We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional gravity. The quantization of this theory in the unitary gauge can be consistently performed taking into account all the topological sectors arising from the gauge-fixing procedure. The resulting theory is naturally interpreted as a Matrix String Theory, that is as a theory of covering maps from a two-dimensional world-sheet to the target Riemann surface.
3rd Meeting On Constrained Dynamics And Quantum Gravity (QG 99)
Villasimius (Italia)
14-18 Settembre 1999
88
142
151
Two-dimensional Yang-Mills theory; string theory; matrix model
Marco Billo'; Michele Caselle; Alessandro D'Adda; Paolo Provero
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/58737
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