Reducible Connections in Massless Topological QCD and 4-manifolds
High Energy Physics - Theory
2009-10-30 v3 alg-geom
Algebraic Geometry
Abstract
A role of reducible connections in Non-Abelian Seiberg-Witten invariants is analyzed with massless Topological QCD where monopole is extended to non-Abelian groups version. By giving small external fields, we found that vacuum expectation value can be separated into a part from Donaldson theory, a part from Abelian Monopole theory and a part from non-Abelian monopole theory. As a by-product, we find identities of U(1) topological invariants. In our proof, the duality relation and Higgs mechanism are not necessary.
Keywords
Cite
@article{arxiv.hep-th/9709203,
title = {Reducible Connections in Massless Topological QCD and 4-manifolds},
author = {A. Sako},
journal= {arXiv preprint arXiv:hep-th/9709203},
year = {2009}
}
Comments
23 pages, Latex, Some mistakes and typographical errors are revised in it. Especially, results written in section 4 are changed