English

The other topological twisting of N=4 Yang-Mills

High Energy Physics - Theory 2009-10-28 v1 dg-ga Differential Geometry

Abstract

We present the alternative topological twisting of N=4 Yang-Mills, in which the path integral is dominated not by instantons, but by flat connections of the COMPLEXIFIED gauge group. The theory is nontrivial on compact orientable four-manifolds with nonpositive Euler number, which are necessarily not simply connected. On such manifolds, one finds a single topological invariant, analogous to the Casson invariant of three-manifolds.

Keywords

Cite

@article{arxiv.hep-th/9506002,
  title  = {The other topological twisting of N=4 Yang-Mills},
  author = {Neil Marcus},
  journal= {arXiv preprint arXiv:hep-th/9506002},
  year   = {2009}
}

Comments

19 (big), 13 (little) pages, LaTeX. (Type b or l when prompted.) Files are also available from http://www.tau.ac.il/~neil/links/papers/flat/ or http://www.tau.ac.il/~neilm/.Me/papers/flat/