English

Superlocalization formulas and supersymmetric Yang-Mills theories

Mathematical Physics 2010-04-05 v1 High Energy Physics - Theory math.MP

Abstract

By using supermanifold techniques we prove a generalization of the localization formula in equivariant cohomology which is suitable for studying supersymmetric Yang-Mills theories in terms of ADHM data. With these techniques one can compute the reduced partition functions of topological super Yang-Mills theory with 4, 8 or 16 supercharges. More generally, the superlocalization formula can be applied to any topological field theory in any number of dimensions.

Keywords

Cite

@article{arxiv.math-ph/0310036,
  title  = {Superlocalization formulas and supersymmetric Yang-Mills theories},
  author = {Ugo Bruzzo and Francesco Fucito},
  journal= {arXiv preprint arXiv:math-ph/0310036},
  year   = {2010}
}

Comments

22 pages, Latex2e

R2 v1 2026-07-22T16:23:29.422Z