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• W3100482456 abstract "Some basic facts about the prepotential in the SW/Whitham theory are presented. Consideration begins from the abstract theory of quasiclassical $tau$-functions , which uses as input a family of complex spectral curves with a meromorphic differential $dS$, subject to the constraint $partial dS/partial(moduli)= holomorphic$, and gives as an output a homogeneous prepotential on extended moduli space. Then reversed construction is discussed, which is straightforwardly generalizable from spectral {it curves} to certain complex manifolds of dimension $d >1$ (like $K3$ and $CY$ families). Finally, examples of particular $N=2$ SUSY gauge models are considered from the point of view of this formalism. At the end we discuss similarity between the $WP^{12}_{1,1,2,2,6}$ --Calabi--Yau model with $h_{21}=2$ and the $1d$ $SL(2)$ Calogero/Ruijsenaars model, but stop short of the claim that they belong to the same Whitham universality class beyond the conifold limit." @default.
• W3100482456 created "2020-11-23" @default.
• W3100482456 creator A5032359105 @default.
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• W3100482456 date "1997-05-01" @default.
• W3100482456 modified "2023-09-24" @default.
• W3100482456 title "Prepotential and the Seiberg-Witten theory" @default.
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• W3100482456 doi "https://doi.org/10.1016/s0550-3213(96)00679-7" @default.
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