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  Monodromy of solutions of the Knizhnik-Zamolodchikov equation

Ponsot, B. (2002). Monodromy of solutions of the Knizhnik-Zamolodchikov equation. Nuclear Physics B, 642, 114-138.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-546C-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-546D-B
Genre: Journal Article

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 Creators:
Ponsot, Benedicte1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: Three explicit and equivalent representations for the monodromy of the conformal blocks in the SL(2,C)/SU(2) WZNW model are proposed in terms of the same quantity computed in Liouville field theory. We show that there are two possible fusion matrices in this model. This is due to the fact that the conformal blocks, being solutions to the Knizhnik-Zamolodchikov equation, have a singularity when the SL(2,C) isospin coordinate x equals the worldsheet variable z. We study the asymptotic behaviour of the conformal block when x goes to z. The obtained relation inserted into a four point correlation function in the SL(2,C)/SU(2) WZNW model gives some expression in terms of two correlation functions in Liouville field theory

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Language(s): eng - English
 Dates: 2002
 Publication Status: Published in print
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 Identifiers: eDoc: 3067
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 642 Sequence Number: - Start / End Page: 114 - 138 Identifier: -