Geometric prequantization of a modified Seiberg-Witten moduli space in 2 dimensions
Mathematical Physics
2008-02-19 v1 math.MP
Abstract
In this paper we consider a dimensional reduction of slightly modified Seiberg-Witten equations, the modification being a different choice of the Pauli matrices which go into defining the equations. We get interesting equations with a Higgs field, spinors and a connection. We show interesting solutions of these equations. Then we go on to show a family of symplectic structures on the moduli space of these equations which can be geometrically prequantized using the Quillen determinant line bundle.
Cite
@article{arxiv.0802.2307,
title = {Geometric prequantization of a modified Seiberg-Witten moduli space in 2 dimensions},
author = {Rukmini Dey},
journal= {arXiv preprint arXiv:0802.2307},
year = {2008}
}