Current algebra, a U(1) gauge theory and the Wess–Zumino–Witten model

Wadia, Spenta R (2021) Current algebra, a U(1) gauge theory and the Wess–Zumino–Witten model Progress of Theoretical and Experimental Physics, 2021 (8). ISSN 2050--3911

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Official URL: http://doi.org/10.1093/ptep/ptab021

Related URL: http://dx.doi.org/10.1093/ptep/ptab021

Abstract

In this note we realise current algebra with anomalous terms in terms of a U(1) gauge theory, in the space of maps M from S1 into a compact Lie group corresponding to the current algebra. The Wilson loop around a closed curve in M is shown to be the Wess–Zumino–Witten term. This discussion enables a simple understanding of the non-Abelian anomaly in the Schrödinger picture.

Item Type:Article
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ID Code:135776
Deposited On:17 Aug 2023 05:41
Last Modified:17 Aug 2023 05:41

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