标题： 量子TBA用于精炼的BPS指标 显示英文标题

标题： Quantum TBA for refined BPS indices

摘要： 精炼的BPS指标导致了一个量子黎曼-希尔伯特问题，该问题与规范和弦理论紧化中出现的模空间的非交换变形密切相关。 我们将这个问题重新表述为类似TBA方程的非交换变形，并将其形式解作为精炼指标的展开式获得。 作为该构造的应用，我们推导出了未精炼情况下TBA方程解的生成函数。 显示英文摘要

摘要： 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.