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BPS states in the Minahan-Nemeschansky $E_7$ theory

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arxiv 1905.09879 v1 pith:MZIKGFAP submitted 2019-05-23 hep-th

classification hep-th
keywords minahan-nemeschanskytheorycalculatechargedegeneraciesanotherchargescomputed
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use the method of spectral networks to calculate BPS degeneracies in the Minahan-Nemeschansky $E_7$ theory, as representations of the $E_7$ flavor symmetry. Our results provide another example of a pattern noticed earlier in the Minahan-Nemeschansky $E_6$ theory: when the electromagnetic charge is $n$ times a primitive charge, the BPS index is a positive integer multiple of $(-1)^{n+1} n$. We also calculate BPS degeneracies in the Minahan-Nemeschansky $E_6$ theory for larger charges than were previously computed.

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Cited by 2 Pith papers

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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.

  2. Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

    math-ph 2024-11 unverdicted

    A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.

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