Ref HAL: hal-05184942_v1
Ref Arxiv: 2507.16908
Ref INSPIRE: 2953431
DOI: 10.48550/arXiv.2507.16908
Ref. & Cit.: NASA ADS
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Résumé:

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.