N=3-extended Supersymmetric Schwarzian and Liouville Theories

TL;DR

This paper formulates N=3 super-Schwarzian and N=(3,0) super-Liouville theories using the coadjoint orbit method, showing their invariance under OSp(2|3) transformations and the stability of certain configurations.

Contribution

It introduces a coadjoint orbit framework for N=3 super-Schwarzian and super-Liouville theories, revealing their invariance properties and stability conditions.

Findings

The theories are represented by a superfield b that renormalizes into the super-Schwarzian derivative.

The actions are invariant under OSp(2|3) transformations.

Certain configurations of the initial orbit are stable under additional OSp(2|3) transformations.

Abstract

N=3 super-Schwarzian and N=(3,0) super-Liouville theories are formulated by the coadjoint orbit method. We study the coadjoint orbit dependence of the respective theories, represented by a superfield b. We show that it is renormalized into the N=3 super-Schwarzian derivative when the b field takes an appropriate configuration at the initial point of the orbit. Then the renormalized actions of the respective theories are invariant under OSp(2$|$3) transformations. If the configuration gets further specified, the initial point of the orbit turns out to be stable under one other kind of OSp(2$|$3) transformations as well.