On holomorphic factorization of WZW and coset models

Edward Witten

doi:10.1007/BF02099196

On holomorphic factorization of WZW and coset models

Edward Witten

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212 Scopus citations

Abstract

It is shown how coupling to gauge fields can be used to explain the basic facts concerning holomorphic factorization of the WZW model of two dimensional conformal field theory, which previously have been understood primarily by using conformal field theory Ward identities. We also consider in a similar vein the holomorphic factorization of G/H coset models. We discuss the G/G model as a topological field theory and comment on a conjecture by Spiegelglas.

Original language	English (US)
Pages (from-to)	189-212
Number of pages	24
Journal	Communications In Mathematical Physics
Volume	144
Issue number	1
DOIs	https://doi.org/10.1007/BF02099196
State	Published - Feb 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02099196

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title = "On holomorphic factorization of WZW and coset models",

abstract = "It is shown how coupling to gauge fields can be used to explain the basic facts concerning holomorphic factorization of the WZW model of two dimensional conformal field theory, which previously have been understood primarily by using conformal field theory Ward identities. We also consider in a similar vein the holomorphic factorization of G/H coset models. We discuss the G/G model as a topological field theory and comment on a conjecture by Spiegelglas.",

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AB - It is shown how coupling to gauge fields can be used to explain the basic facts concerning holomorphic factorization of the WZW model of two dimensional conformal field theory, which previously have been understood primarily by using conformal field theory Ward identities. We also consider in a similar vein the holomorphic factorization of G/H coset models. We discuss the G/G model as a topological field theory and comment on a conjecture by Spiegelglas.

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On holomorphic factorization of WZW and coset models

Abstract

All Science Journal Classification (ASJC) codes

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