Topological Kac-Moody Algebra and Wakimoto Representation
Abbas Ali, Alok Kumar
TL;DR
This paper demonstrates that the level zero SU(2) Kac-Moody conformal field theory is topological, achieved through Wakimoto representation and twisting an N=2 superconformal theory, with Kac-Moody generators shown to be BRST exact.
Contribution
It introduces a novel topological interpretation of level zero SU(2) Kac-Moody theory via Wakimoto representation and N=2 superconformal twisting.
Findings
Kac-Moody generators are BRST exact
Level zero SU(2) theory is topological
Explicit N=2 superconformal generators derived
Abstract
It is shown, using the Wakimoto representation, that the level zero SU(2) Kac-Moody conformal field theory is topological and can be obtained by twisting an N=2 superconformal theory. Expressions for the associated N=2 superconformal generators are written down and the Kac-Moody generators are shown to be BRST exact.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Physics of Superconductivity and Magnetism · Algebraic structures and combinatorial models