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arXiv · 2507.16908

Quantum TBA for refined BPS indices

Sergei Alexandrov·Khalil Bendriss
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Abstract

Refined BPS indices give rise to a quantum Riemann-Hilbert problem that is inherently related to a non-commutative deformation of moduli spaces arising in gauge and string theory compactifications. We reformulate this problem in terms of a non-commutative deformation of a TBA-like equation and obtain its formal solution as an expansion in refined indices. As an application of this construction, we derive a generating function of solutions of the TBA equation in the unrefined case.

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Sergei Alexandrov, Khalil Bendriss. 2025-07-22. Quantum TBA for refined BPS indices. https://doi.org/10.1007/s11005-025-02029-5

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