On Exponential corrections to the 1/N expansion in two-dimensional Yang Mills theory

Abstract

We compute $e^{-AN}$ corrections to the Gross-Taylor 1/N expansion of the paritition function of two-dimensional SU(N) and U(N) Yang Mills theory. We find a very similar structure of mixing between holomorphic and anti-holomorphic sectors as that described by Vafa for the 1/N expansion. Some of the non-perturbative terms are suggestive of D-strings wrapping the $T^2$ of the 2dYM but blowing up into a fuzzy geometry by the Myers effect in the directions transverse to the $T^2$.

19 pages, 3 figures ; v2,3 -refs added

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• The Library of Babel: On the origin of gravitational thermodynamics
• Baby Universes in String Theory
• Matrix Model Maps in AdS/CFT
• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• Resurgence analysis of 2d Yang-Mills theory on a torus
• Bosonization of non-relativistic fermions on a circle: Tomonaga's problem revisited
• Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons Theory on Torus Bundles
• A Universal Behavior of Half BPS Probes in the Superstar Ensemble