Logarithmic Conformal Field Theory and Seiberg-Witten Models

Details Logarithmic Conformal Field Theory and Seiberg-Witten Models Logarithmic Conformal Field Theory and Seiberg-Witten Models

1998-08-27

arxiv.org/abs/hep-th/9808169v3

Phys.Lett. B444 (1998) 179-189

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 13+1 pages; some typos corrected, references added

Scientific paper

10.1016/S0370-2693(98)01378-1

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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