Resurgent structure of 2d Yang-Mills theory on a torus
Abstract
A bstract We study the resurgent structure of the topological string dual to 2d U( N ) Yang-Mills on torus. We find closed form formulas for instanton amplitudes up to arbitrarily high instanton orders, based on which we propose the non-perturbative partition function including contributions from all the real instantons, which is real for positive modulus and string coupling. We also explore complex instantons and find two infinite towers of them. We expect them to correspond to BPS states in type II string.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Algebraic structures and combinatorial models
Quantum Chromodynamics and Particle Interactions
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 5
- Publication date
- 21 May 2026
- Language
- EN