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Quantum TBA for refined BPS indices (2507.16908v1)
Published 22 Jul 2025 in hep-th, math-ph, math.AG, math.MP, and math.NT
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.