SW1+∞ symmetries of N = 2 supersymmetric CKP hierarchy and its multicomponent generalization
Chuanzhong Li
Abstract
In this paper, we define a N=2 supersymmetric CKP(SCKP) hierarchy and construct its additional symmetries. These additional flows constitute a C type SW1+∞ Lie algebra. Further we generalize the N=2 SCKP hierarchy to a N=2 supersymmetric multi-component CKP hierarchy equipped with a C type ⨂SW1+∞ Lie algebra.
Topics & Concepts
HierarchyGeneralizationHomogeneous spaceMathematicsType (biology)Lie algebraAlgebra over a fieldPhysicsPure mathematicsCombinatoricsGeometryBiologyMathematical analysisEconomicsEcologyMarket economyNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsMolecular spectroscopy and chirality