Negative Generators of the Virasoro Constraints for the BKP Hierarchy

2008/11/13 by Jingsong He, He, Jingsong, Kelei Tian +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0811.2021

openalex publication_date 2008/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a straightforward derivation of the string equation and Virasoro constraints on the τ function of the BKP hierarchy by means of some special additional symmetry flows. The explicit forms of the actions of these additional symmetry flows on the wave function and then the negative Virasoro generators L_-k are given, where k is a positive integer.

Citations

• The n--TH Reduced BKP Hierarchy, the String Equation and BW_1+∞--Constraints

Related

• String Equations of the q-KP Hierarchy
• The n--TH Reduced BKP Hierarchy, the String Equation and BW_1+∞--Constraints
• String equations in Whitham hierarchies: tau-functions and Virasoro constraints
• Virasoro operators in the continuous basis of string field theory
• Loop-Algebra and Virasoro Symmetries of Integrable Hierarchies of KP Type