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arXiv · 1502.01486

Generalized Seiberg-Witten equations on Riemann surface

Rukmini Dey·Varun Thakre
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Abstract

In this paper we consider twice-dimensionally reduced, generalized Seiberg-Witten equations, defined on a compact Riemann surface. A novel feature of the reduction technique is that the resulting equations produce an extra "Higgs field". Under suitable regularity assumptions, we show that the moduli space of gauge-equivalent classes of solutions to the reduced equations, is a smooth Kahler manifold and construct a pre-quantum line bundle over the moduli space of solutions.

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Rukmini Dey, Varun Thakre. 2016-03-02. Generalized Seiberg-Witten equations on Riemann surface. https://arxiv.org/abs/1502.01486

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