Quantum TBA for refined BPS indices
High Energy Physics - Theory
2026-01-22 v2 Mathematical Physics
Algebraic Geometry
math.MP
Number Theory
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.
Cite
@article{arxiv.2507.16908,
title = {Quantum TBA for refined BPS indices},
author = {Sergei Alexandrov and Khalil Bendriss},
journal= {arXiv preprint arXiv:2507.16908},
year = {2026}
}
Comments
34 pages; added clarifications and references