Topological Quantum Field Theory and Seiberg-Witten Monopoles
High Energy Physics - Theory
2008-11-26 v1
Abstract
A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topological field theory leads to a new one in three dimensions. Its partition function yields a three-manifold invariant, which can be regarded as the Seiberg-Witten version of Casson's invariant. A Geometrical interpretation of the three dimensional quantum field theory is also given.
Keywords
Cite
@article{arxiv.hep-th/9504005,
title = {Topological Quantum Field Theory and Seiberg-Witten Monopoles},
author = {R. B. Zhang and B. L. Wang and A. L. Carey and J. McCarthy},
journal= {arXiv preprint arXiv:hep-th/9504005},
year = {2008}
}
Comments
15 pages, Latex file, no figures