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arXiv · hep-th/0607142

Pure Gauge SU(2) Seiberg-Witten Theory and Modular Forms

Kirsten Vogeler·Michael Flohr
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Abstract

We identify the spectral curve of pure gauge SU(2) Seiberg-Witten theory with the Weierstrass curve $\mathbbm{C}/L \ni z \mapsto (1,\wp(z),\wp(z)')$ and thereby obtain explicitely a modular form from which the moduli space parameter $u$ and lattice parameters $a$, $a_D$ can be derived in terms of modular respectively theta functions. We further discuss its relationship with the $c=-2$ triplet model conformal field theory.

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Kirsten Vogeler, Michael Flohr. 2007-07-17. Pure Gauge SU(2) Seiberg-Witten Theory and Modular Forms. https://doi.org/10.1063/1.2759443

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