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

• Published in: Progress of theoretical and experimental physics Vol. 2021; no. 8
• Main Author: Wadia, Spenta R
• Format: Journal Article
• Language: English
• Published: Oxford Oxford University Press 01.08.2021
• Subjects: Algebra; Lie groups; Quarks; B31

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 $S^1$ 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 di...