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arXiv · hep-th/9808169

Logarithmic Conformal Field Theory and Seiberg-Witten Models

Michael A. I. Flohr
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Abstract

The periods of arbitrary abelian forms on hyperelliptic Riemann surfaces, in particular the periods of the meromorphic Seiberg-Witten differential, are shown to be in one-to-one correspondence with the conformal blocks of correlation functions of the rational logarithmic conformal field theory with central charge c=c(2,1)=-2. The fields of this theory precisely simulate the branched double covering picture of a hyperelliptic curve, such that generic periods can be expressed in terms of certain generalised hypergeometric functions, namely the Lauricella functions of type F_D.

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Michael A. I. Flohr. 1998-10-26. Logarithmic Conformal Field Theory and Seiberg-Witten Models. https://doi.org/10.1016/s0370-2693(98)01378-1

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