lambda的q函数

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-09-17 DOI:10.1007/s11005-025-01988-z

Davide Masoero, Evgeny Mukhin, Andrea Raimondo

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引用次数: 0

摘要

我们考虑由\(\widehat{\mathfrak {sl}}_2\) Gaudin Bethe Ansatz方程解对应的\(\lambda \) -算子构造的Schrödinger算子。我们定义并研究了称为q函数的连接系数。我们推测\(\lambda \) -开子的q -函数与具有与量子KdV流相关的巨势的Bazhanov-Lukyanov-Zamolodchikov开子的q -函数一致。我们为这个猜想提供了支持性的证据。特别地，我们给出了\(\lambda \) -op的q函数满足QQ和TQ关系的严格证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Q-functions for lambda opers

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Q-functions for lambda opers

We consider the Schrödinger operators which are constructed from the \(\lambda \)-opers corresponding to solutions of the \(\widehat{\mathfrak {sl}}_2\) Gaudin Bethe Ansatz equations. We define and study the connection coefficients called the Q-functions. We conjecture that the Q-functions obtained from the \(\lambda \)-opers coincide with the Q-functions of the Bazhanov–Lukyanov–Zamolodchikov opers with the monster potential related to the quantum KdV flows. We give supporting evidence for this conjecture. In particular, we give a rigorous proof that the Q-functions of \(\lambda \)-opers satisfy the QQ and TQ relations.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.