Quantum Torus symmetries of the CKP and multi-component CKP hierarchies

Abstract

In this paper, we construct a series of additional flows of the CKP hierarchy and the multi-component CKP hierarchy and these flows constitute a N-folds direct product of the positive half of the quantum Torus symmetry. Comparing to the $W_{\infty }$ infinite dimensional Lie symmetry, this quantum Torus symmetry has a nice algebraic structure with double indices.

12 Pages, to appear in Journal of Mathematical Physics

References in corpus (4)

• On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula
• Melting Crystal, Quantum Torus and Toda Hierarchy
• Supersymmetric BKP systems and their symmetries
• Virasoro type algebraic structure hidden in the constrained discrete KP hierarchy

Cited by in corpus (1)

• CKP hierarchy and free Bosons