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On quantum gauge theories in two dimensions

1991; Springer Science+Business Media; Volume: 141; Issue: 1 Linguagem: Inglês

10.1007/bf02100009

1432-0916

Edward Witten,

Advanced Algebra and Geometry

Two dimensional quantum Yang-Mills theory is studied from three points of view: (i) by standard physical methods; (ii) by relating it to the largek limit of three dimensional Chern-Simons theory and two dimensional conformal field theory; (iii) by relating its weak coupling limit to the theory of Reidemeister-Ray-Singer torsion. The results obtained from the three points of view agree and give formulas for the volumes of the moduli spaces of representations of fundamental groups of two dimensional surfaces.