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Higher cocycles in anomalous gauge theories and their consistency conditions

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Zeitschrift für Physik C Particles and Fields

Abstract

We derive consistency conditions for all cocycles related to the 5-dimensional Chern-Simons action. We show that the Jacobi identity plays two different roles, it is satisfied by the 2-cocycle and violated by the 3-cocycle, and we discuss the different operators appearing in it. Then we generalize this structure to arbitraryn-cocycles, and hence suggest a meaning for them in field theory.

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  1. Institut für Theoretische Physik, Universität Karlsruhe, Kaiserstrasse 12, W-7500, Karlsruhe, Federal Republic of Germany

    C. Schwiebert

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  1. C. Schwiebert
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Schwiebert, C. Higher cocycles in anomalous gauge theories and their consistency conditions. Z. Phys. C - Particles and Fields 51, 93–97 (1991). https://doi.org/10.1007/BF01579564

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  • DOI: https://doi.org/10.1007/BF01579564

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