Quantum Torus symmetries of the CKP and multi-component CKP hierarchies
arXiv:1710.10905 · doi:10.1063/1.5010927
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 infinite dimensional Lie symmetry, this quantum Torus symmetry has a nice algebraic structure with double indices.
arXiv comment12 Pages, to appear in Journal of Mathematical Physics
References in corpus (10)
- On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula
- Melting Crystal, Quantum Torus and Toda Hierarchy
- Block type symmetry of bigraded Toda Hierarchy
- Additional symmetries of constrained CKP and BKP hierarchies
- Dispersionless bigraded Toda Hierarchy and its additional symmetry
- Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies
- Supersymmetric BKP systems and their symmetries
- Quantum Torus symmetry of the KP, KdV and BKP hierarchies
- Virasoro type algebraic structure hidden in the constrained discrete KP hierarchy
- Block (or Hamiltonian) Lie symmetry of dispersionless D type Drinfeld-Sokolov hierarchy