Chapter

Nonperturbative Quantum Field Theory

Volume 185 of the series NATO ASI Series pp 101-141

Topological Actions in Two-Dimensional Quantum Field Thories

  • K. GawędzkiAffiliated withC.N.R.S.,I.H.E.S.

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Abstract

A systematic approach to 2-dimensional quantum field theories with to pological terms in the action is developed using as a mathematical tool the Deligne cohomology. As an application,it is shown how to bosonize the action of free fermions of arbitrary spin on a Riemann surface and how to find the spectrum of the Wess-Zumino-Witten sigma models without recurrence to modular invariance.