Goldstone multiplet for partially broken superconformal symmetry

TL;DR

This paper constructs a four-dimensional N=1 supersymmetric action with generalized superconformal invariance, derived from the symmetries of D3-brane actions in AdS(5), using nonlinear realization methods.

Contribution

It introduces a novel off-shell supersymmetric action exhibiting field-dependent superconformal symmetry based on coset space techniques.

Findings

Derived a supersymmetric action with superconformal invariance.

Identified Goldstone supermultiplet for broken symmetries.

Demonstrated symmetry properties of D3-brane in AdS(5).

Abstract

The bosonic parts of D3-brane actions in AdS(5) backgrounds are known to have symmetries which are field-dependent extensions of conformal transformations of the worldvolume coordinates. Using the coset space SU(2,2|1)/SO(4,1), we apply the method of nonlinear realizations to construct a four-dimensional N = 1 off-shell supersymmetric action which has a generalized field-dependent superconformal invariance. The Goldstone fields for broken scale, chiral and S-supersymmetry transformations form a chiral supermultiplet.