Abstract
Abstract
We compute the exact all-orders perturbative expansion for the partition function of 2d SU(2) Yang-Mills theory on closed surfaces around higher critical points of the classical action. We demonstrate that the expansion can be derived from the lattice partition function for all genera using a distributional generalization of the Poisson summation formula. We then recompute the expansion directly, using a stationary phase version of supersymmetric localization. The result of localization is a novel effective action which is itself a distribution rather than a function of the supersymmetric moduli. We comment on possible applications to A-twisted models and their analogs in higher dimensions.
Publisher
Springer Science and Business Media LLC
Reference44 articles.
1. A.A. Migdal, Recursion Equations in Gauge Theories, Sov. Phys. JETP 42 (1975) 413 [INSPIRE].
2. E. Witten, On quantum gauge theories in two-dimensions, Commun. Math. Phys. 141 (1991) 153 [INSPIRE].
3. E. Witten, Two-dimensional gauge theories revisited, J. Geom. Phys. 9 (1992) 303 [hep-th/9204083] [INSPIRE].
4. M. Blau and G. Thompson, Lectures on 2-d gauge theories: Topological aspects and path integral techniques, in the proceedings of the Summer School in High-energy Physics and Cosmology (Includes Workshop on Strings, Gravity, and Related Topics, Jul 29–30 (1993) [hep-th/9310144] [INSPIRE].
5. D.J. Gross, Two-dimensional QCD as a string theory, Nucl. Phys. B 400 (1993) 161 [hep-th/9212149] [INSPIRE].