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The BPS Spectrum Generator In 2d-4d Systems

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arxiv 1205.2512 v3 pith:2QQC6GDQ submitted 2012-05-11 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords d-4dspectrumapplyclasscoupledfunctionsgeneralgenerating
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abstract

We apply the techniques provided by the recent works Gaiotto, Moore and Neitzke, to derive the most general spectrum generating functions for coupled 2d-4d $A_1$ theories of class ${\cal S}$, in presence of surface and line defects. As an application of the result, some well-known BPS spectra are reproduced. Our results apply to a large class of coupled 2d-4d systems, the corresponding spectrum generating functions can be easily derived from our general expressions.

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  1. Exact WKB of solutions by Borel summation and open TBA

    hep-th 2025-07 conditional novelty 7.0 of 10

    Borel-summed WKB solutions of quantum Seiberg-Witten equations are matched, numerically, to GMN open TBA solutions for the Weber and modified Mathieu equations.

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