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In this paper we consider a dimensional reduction of slightly modified  Seiberg-Witten equations, the modification being a different choice of thePauli matrices which go into defining the equations. We get interestingequations with a Higgs field, spinors and a connection. We show interestingsolutions of these equations. Then we go on to show a family of symplecticstructures on the moduli space of these equations which can be geometricallyprequantized using the Quillen determinant line bundle.

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