Generalized Seiberg-Witten equations on Riemann surface
Differential Geometry
2016-03-03 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1502.01486,
title = {Generalized Seiberg-Witten equations on Riemann surface},
author = {Rukmini Dey and Varun Thakre},
journal= {arXiv preprint arXiv:1502.01486},
year = {2016}
}
Comments
Second author added. Details on construction of Kahler structure on moduli space and a different proof of transversality added to the manuscript. Comments are welcome!