2007

Coulomb integrals for the SL(2,R) WZNW model

Iguri, Sergio, Nunez, Carmen

Understand

We review the Coulomb gas computation of three-point functions in the SL(2,R) WZNW model and obtain explicit expressions for generic states.

These amplitudes have been computed in the past by this and other methods but the analytic continuation in the number of screening charges required by the Coulomb gas formalism had only been performed in particular cases.
After showing that ghost contributions to the correlators can be generally expressed in terms of Schur polynomials we solve Aomoto integrals in the complex plane, a new set of multiple integrals of Dotsenko-Fateev type.
We then make use of monodromy invariance to analytically continue the number of screening operators and prove that this procedure gives results in complete agreement with the amplitudes obtained from the bootstrap approach.

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Then

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2002
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P. Minces and C. Núñez, Four point functions in the S L ( 2 , ℝ ) SL(2,\mathbb{R}) WZW model
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