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Topological Actions in Two-Dimensional Quantum Field Thories

  • K. Gawędzki
Part of the NATO ASI Series book series (NSSB, volume 185)

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.

Keywords

Riemann Surface Line Bundle Isomorphism Class Parallel Transport Holomorphic Section 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • K. Gawędzki
    • 1
  1. 1.C.N.R.S.,I.H.E.S.Bures-sur-YvetteFrance

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