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

SERGIO IGURI

Buenos Aires, Argentina

Conferencia; XXVIII Encuentro de la red strings@ar; 2007

We review the Coulomb gas computation of three-point functions in the SL(2,R) WZW model and obtain explicit expressions for generic states. We show that the general ghost correlators can be expressed in terms of Schur's polynomials. We solve Aomoto integral in the complex plane, a new multiple integral formula 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 the correct results. We also compute the spectral flow non-conserving three-point functions following Zamolodchikov's prescription for violating the conservation of the winding number and we obtain results in complete agreement with the amplitudes found by other approaches. We also present an alternative way of computing such correlators in the free field formalism.