Simple Lie Algebras, Drinfeld–Sokolov Hierarchies, and Multi-Point Correlation Functions
نویسندگان
چکیده
For a simple Lie algebra $\mathfrak{g}$, we derive algorithm for computing logarithmic derivatives of tau-functions Drinfeld--Sokolov hierarchy $\mathfrak{g}$-type in terms $\mathfrak{g}$-valued resolvents. We show, the topological solution to lowest-weight-gauge $\mathfrak{g}$-type, resolvents evaluated at zero satisfy $\textit{topological ODE}$.
منابع مشابه
Simple Lie algebras, Drinfeld–Sokolov hierarchies, and multi-point correlation functions
For a simple Lie algebra g, we derive a simple algorithm for computing logarithmic derivatives of tau-functions of Drinfeld–Sokolov hierarchy of g-type in terms of g-valued resolvents. We show, for the topological solution to the lowest-weight-gauge Drinfeld–Sokolov hierarchy of g-type, the resolvents evaluated at zero satisfy the topological ODE.
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2021
ISSN: ['1609-4514', '1609-3321']
DOI: https://doi.org/10.17323/1609-4514-2021-21-2-233-270