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Extensions of Gauge groups, related to quantum anomalies

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An infinite-dimensional central extension of the group of currents is constructed, related to the anomaly in the Gauss law, discovered by L. D. Faddeev.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 146, pp. 102–118, 1985.

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Reiman, A.G. Extensions of Gauge groups, related to quantum anomalies. J Math Sci 40, 80–93 (1988). https://doi.org/10.1007/BF01084940

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  • Gauge Group
  • Central Extension
  • Quantum Anomaly