Virasoro and W-constraints for the $q$-KP hierarchy

Abstract

Based on the Adler-Shiota-van Moerbeke (ASvM) formula, the Virasoro constraints and W-constraints for the p-reduced q-deformed Kadomtsev-Petviashvili (q-KP) hierarchy are established.

8 pages, to appear in AIP proceedings, Volume 1212(2010), page 35

References in corpus (10)

• Integrability and Matrix Models
• Solving Virasoro Constraints in Matrix Models
• Additional symmetries of KP, Grassmannian, and the string equation
• The algebra of q-pseudodifferential symbols and the q-W_{KP}^n algebra
• Solutions of a discretized Toda field equation for $D_r$ from Analytic Bethe Ansatz
• Integrable Hierarchy for Multidimensional Toda Equations and Topological-Anti-topological Fusion
• On the String Equation of the BKP Hierarchy
• The Lax Operator Approach for the Virasoro and the W-Constraints in the Generalized KdV Hierarchy
• Deformations of the KdV hierarchy and related soliton equations
• String Equations of the q-KP Hierarchy

Cited by in corpus (1)

• Symmetric $q$-deformed KP hierarch