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On the BPS spectrum of 5d SU(2) super-Yang-Mills

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arxiv 2101.01681 v3 pith:WREV6DK6 submitted 2021-01-05 hep-th math.AG

classification hep-thmath.AG
keywords mathbbspectrumanywherebackgroundbranchcalabi-yauclosed-formcorresponding
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abstract

We provide a closed-form expression for the motivic Kontsevich-Soibelman invariant for M-theory in the background of the toric Calabi-Yau threefold $K_{\mathbb{F}_0}$. This encodes the refined BPS spectrum of $SU(2)$ 5d ${\cal N}=1$ Yang-Mills theory on $S^1\times \mathbb{R}^4$, corresponding to rank-zero Donaldson-Thomas invariants for $K_{\mathbb{F}_0}$, anywhere on the Coulomb branch.

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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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