Nonlinear Realization of N=2 Superconformal Symmetry and Brane Effective Actions

TL;DR

This paper presents an alternative mechanism for spontaneous breaking of N=2 superconformal symmetry to N=0, leading to a Weyl scale invariant brane theory with detailed dynamics and matter coupling.

Contribution

It introduces a novel approach to realize N=2 superconformal symmetry breaking without using the dilaton as a compensator, resulting in a Weyl scale invariant brane model.

Findings

Derivation of Weyl scale invariant brane dynamics

Construction of matter field couplings on the brane

Identification of a space-filling brane with N=2 superconformal symmetry breaking

Abstract

Due to the incompatibility of the nonlinear realization of superconformal symmetry and dilatation symmetry with the dilaton as the compensator field, in the present paper it shows an alternative mechanism of spontaneous breaking the N=2 superconformal symmetry to the N=0 case. By using the approach of nonlinear transformations it is found that it leads to a space-filling brane theory with Weyl scale W(1,3) symmetry. The dynamics of the resulting Weyl scale invariant brane, along with that of other Nambu-Goldstone fields, is derived in terms of the building blocks of the vierbein and the covariant derivative from the Maurer-Cartan oneforms. A general coupling of the matter fields localized on the brane world volume to these NG fields is also constructed.