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N = 2 supersymmetric extension on multi-component D type Drinfeld–Sokolov hierarchy

Chuanzhong Li

2024Physics Letters B21 citationsDOIOpen Access PDF

Abstract

In this paper, we define a N = 2 multi-component supersymmetric B type 2KP(MS2BKP) hierarchy and its additional symmetries. These additional flows form a B type multi S W 1 + ∞ Lie algebra. Under a reduction, we derive a N = 2 multi-component supersymmetric D type Drinfeld–Sokolov hierarchy which has a multi super Virasoro algebraic structure.

Topics & Concepts

PhysicsExtension (predicate logic)HierarchyComponent (thermodynamics)Type (biology)SupersymmetryParticle physicsMathematical physicsQuantum mechanicsProgramming languageBiologyComputer scienceEcologyMarket economyEconomicsNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsAdvanced Topics in Algebra