Superlocalization formulas and supersymmetric Yang-Mills theories

Details Superlocalization formulas and supersymmetric Yang-Mills theories Superlocalization formulas and supersymmetric Yang-Mills theories

2003-10-18

arxiv.org/abs/math-ph/0310036v1

Nucl.Phys. B678 (2004) 638-655

Physics

Mathematical Physics

22 pages, Latex2e

Scientific paper

10.1016/j.nuclphysb.2003.11.033

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.

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