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.
Extended version of lectures delivered at the Summer School on Nonperturbative Quantum Field Theory, Cargese 1987.
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© 1988 Plenum Press, New York
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Gawędzki, K. (1988). Topological Actions in Two-Dimensional Quantum Field Thories. In: ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) Nonperturbative Quantum Field Theory. Nato Science Series B:, vol 185. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0729-7_5
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DOI: https://doi.org/10.1007/978-1-4613-0729-7_5
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