Nonlinear Realization of Partially Broken N=2 AdS Supersymmetry in Two and Three Dimensions

TL;DR

This paper develops a nonlinear realization framework for partially broken N=2 supersymmetry in 2D and 3D anti de-Sitter spaces, identifying Nambu-Goldstone modes and constructing effective Lagrangians.

Contribution

It introduces a superspace formalism for AdS spaces with partial supersymmetry breaking and derives transformation laws and effective actions.

Findings

Identified NG fermion and boson forming a multiplet.

Constructed covariant derivatives and supervielbeins for AdS superspace.

Derived nonlinear transformation laws and lowest order effective Lagrangians.

Abstract

We investigate the nonlinear realization of partially broken $N$=2 global supersymmetry in the D=2 and 3 anti de-Sitter (AdS) space. We particularly study Nambu-Goldstone degrees of freedom for the $N$=2 AdS supersymmetry partially broken down to $N$=1 AdS supersymmetry, where we observe a NG fermion of the broken supersymmetry and a NG boson of the internal symmetry which form a NG multiplet. Based on the nonlinear realization method, we construct a superspace formalism for 2 and 3 dimensional AdS space and evaluate the covariant derivatives and supervielbeins for the AdS superspace. Finally we obtain the nonlinear transformation laws and the lowest order of effective Lagrangians.