Geometric prequantization of a modified Seiberg-Witten moduli space in 2 dimensions

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.

References in corpus (5)

• Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
• Liouville Vortex And ${\phi }^4$ Kink Solutions Of The Seiberg--Witten Equations
• Geometric quantization of the moduli space of the Self-duality equations on a Riemann surface
• Symplectic and Hyperkahler structures in a dimensional reduction of the Seiberg-Witten equations with a Higgs field
• Seiberg-Witten Monopole Equations And Riemann Surfaces