New results in $\mathcal{N}=2$ theories from non-perturbative string

Abstract

We describe the magnetic phase of SU(N) $\mathcal{N}=2$ Super Yang-Mills theories in the self-dual Omega background in terms of a new class of multi-cut matrix models. These arise from a non-perturbative completion of topological strings in the dual four dimensional limit which engineers the gauge theory in the strongly coupled magnetic frame. The corresponding spectral determinants provide natural candidates for the tau functions of isomonodromy problems for flat spectral connections associated to the Seiberg-Witten geometry.

arXiv comment26 pages, 1 figure. v3: Many clarifications and some new results on exact S-duality added. Typos corrected

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Cited by in corpus (6)

• A Solvable Deformation of Quantum Mechanics
• On determinant representation and integrability of Nekrasov functions
• Cluster Toda chains and Nekrasov functions
• Orthogonal Polynomials in Mathematical Physics
• Unitary matrix with a Penner-like potential also yields N_f=2
• Revisiting the Multi-Monopole Point of $SU(N)$ $\mathcal{N}=2$ Gauge Theory in Four Dimensions