Contour integral representations for the characters of rational conformal field theories

Mukhi, Sunil ; Panda, Sudhakar ; Sen, Ashoke (1989) Contour integral representations for the characters of rational conformal field theories Nuclear Physics - Section B: Particle Physics, Field Theory and Statistical Systems, Physical Mathematics, 326 (2). pp. 351-375. ISSN 0550-3213

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/055032...

Related URL: http://dx.doi.org/10.1016/0550-3213(89)90136-3

Abstract

We propose simple Feigin-Fuchs contour integral representations for the characters of a large class of rational conformal field theories. These include the A, D and E series SU(2) WZW theories, the A and D series c<1 minimal theories, and the k = 1 SU(N) WZW theories. All these theories are characterized by the absence of the zeroes in the wronskian determinant of the characters in the interior of moduli space. This proposal is verified by several calculations.

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