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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| Published in | Physics letters. B Vol. 444; no. 1; pp. 179 - 189 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
17.12.1998
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| Online Access | Get full text |
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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
. |
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| ISSN: | 0370-2693 1873-2445 |
| DOI: | 10.1016/S0370-2693(98)01378-1 |