Nonlinear realization of superconformal symmetry and Liouville equation superextensions

TL;DR

This paper demonstrates that using nonlinear realization of superconformal symmetry simplifies the super-Liouville equation to its ordinary form by relaxing gauge fixing conditions.

Contribution

It introduces a method to reduce the super-Liouville equation to the ordinary Liouville equation through nonlinear realization of superconformal symmetry.

Findings

Super-Liouville equation can be simplified to the ordinary Liouville equation.

Relaxation of auxiliary equations of motion enables this reduction.

Method applies to n=(1,1) superconformal symmetry.

Abstract

It is shown that the method of nonlinear realization of local supersymmetry being applied to the n=(1,1) superconformal symmetry allows one reduce the new version of the super-Liouville equation to the ordinary one owing to the relaxation of the auxiliary equation of motion fixing the gauge parameters.