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New Results in \({\mathcal {N}}=2\) Theories from Non-perturbative String

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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 with the Seiberg–Witten geometry.

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Authors and Affiliations

  1. International School of Advanced Studies (SISSA), Via Bonomea 265, 34136, Trieste, Italy

    Giulio Bonelli & Alessandro Tanzini

  2. INFN, Sezione di Trieste, Trieste, Italy

    Giulio Bonelli, Alba Grassi & Alessandro Tanzini

  3. International Center for Theoretical Physics ICTP, Strada Costiera 11, 34151, Trieste, Italy

    Alba Grassi

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  1. Giulio Bonelli
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Bonelli, G., Grassi, A. & Tanzini, A. New Results in \({\mathcal {N}}=2\) Theories from Non-perturbative String. Ann. Henri Poincaré 19, 743–774 (2018). https://doi.org/10.1007/s00023-017-0643-5

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