Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body system

Author:

Anton Galajinsky

Keyword:

Nonlinear Sciences, Exactly Solvable and Integrable Systems, Exactly Solvable and Integrable Systems (nlin.SI), High Energy Physics - Theory (hep-th)

journal:

date:

2023-09-24 16:00:00

Abstract

An N=1 supersymmetric extension of the Ruijsenaars-Schneider three-body model is constructed and its integrability is established. In particular, three functionally independent Grassmann-odd constants of the motion are given and their algebraic resolvability is proven. The supersymmetric generalization is used to build a novel integrable isospin extension of the Ruijsenaars-Schneider three-body system.

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