Logarithmic conformal field theory and Seiberg-Witten models

The periods of arbitrary abelian forms on hyperelliptic Riemann surfaces, in particular the periods of the meromorphic Seiberg-Witten differential λ SW, are shown to be in one-to-one correspondence with the conformal blocks of correlation functions of the rational logarithmic conformal field theory...

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Bibliographic Details
Published in:Physics letters. B 1998-12, Vol.444 (1), p.179-189
Main Author: Flohr, Michael A.I.
Format: Article
Language:English
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Summary:The periods of arbitrary abelian forms on hyperelliptic Riemann surfaces, in particular the periods of the meromorphic Seiberg-Witten differential λ SW, 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 .
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(98)01378-1