Supersymmetric hydrodynamics

TL;DR

This paper explores a supersymmetric extension of relativistic fluid mechanics, detailing its Lagrangian, symmetries, conserved charges, and Hamiltonian formulation within a four-dimensional Minkowski space.

Contribution

It introduces a novel supersymmetric fluid mechanics model, providing its Lagrangian, symmetry analysis, and Hamiltonian reformulation, advancing theoretical understanding of supersymmetric hydrodynamics.

Findings

Constructed the supersymmetric fluid Lagrangian.

Identified symmetries and conserved charges.

Reformulated the theory in Hamiltonian form.

Abstract

We work out some properties of a recently proposed globally N = 1 supersymmetric extension of relativistic fluid mechanics in four-dimensional Minkowski space. We construct the lagrangean, discuss its symmetries and the corresponding conserved Noether charges. We reformulate the theory in hamiltonian formulation, and rederive the (supersymmetry and internal) transformations generated by these charges. Super-Poincare algebra is also realized in this formulation.