The Kač-Moody anomaly. An obstruction to a gauged Wess-Zumino-Witten model

L. Castellani; R. D'auria; A. R. Levi

doi:10.1016/0370-2693(89)90783-1

The Kač-Moody anomaly. An obstruction to a gauged Wess-Zumino-Witten model

L. Castellani
, R. D'auria
, A. R. Levi

Research output: Contribution to journal › Article › peer-review

Abstract

We present a gauged Wess-Zumino-Witten model, in which the topological term is a difference of Chern-Simons forms. Part of the Kač-Moody currents become first-class constraints, thus generating local Kač-Moody symmetries. This model provides a lagrangian relization of the Goddard-Kent-Olive coset construction. At the quantum level, however, the Kač-Moody anomaly vanishes only for a negative value of the central charge k.

Original language	English
Pages (from-to)	539-543
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	220
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(89)90783-1
Publication status	Published - 13 Apr 1989
Externally published	Yes

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abstract = "We present a gauged Wess-Zumino-Witten model, in which the topological term is a difference of Chern-Simons forms. Part of the Ka{\v c}-Moody currents become first-class constraints, thus generating local Ka{\v c}-Moody symmetries. This model provides a lagrangian relization of the Goddard-Kent-Olive coset construction. At the quantum level, however, the Ka{\v c}-Moody anomaly vanishes only for a negative value of the central charge k.",

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AU - Levi, A. R.

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N2 - We present a gauged Wess-Zumino-Witten model, in which the topological term is a difference of Chern-Simons forms. Part of the Kač-Moody currents become first-class constraints, thus generating local Kač-Moody symmetries. This model provides a lagrangian relization of the Goddard-Kent-Olive coset construction. At the quantum level, however, the Kač-Moody anomaly vanishes only for a negative value of the central charge k.

AB - We present a gauged Wess-Zumino-Witten model, in which the topological term is a difference of Chern-Simons forms. Part of the Kač-Moody currents become first-class constraints, thus generating local Kač-Moody symmetries. This model provides a lagrangian relization of the Goddard-Kent-Olive coset construction. At the quantum level, however, the Kač-Moody anomaly vanishes only for a negative value of the central charge k.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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The Kač-Moody anomaly. An obstruction to a gauged Wess-Zumino-Witten model

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