Superconformal Symmetry, The Supercurrent And Non-BPS Brane Dynamics

TL;DR

This paper constructs superconformal currents for a non-BPS brane in superspace, revealing how superconformal symmetry and its breaking are realized through world volume supercurrents and their multiplets.

Contribution

It explicitly derives superconformal currents and their multiplets for a non-BPS p=2 brane, extending understanding of superconformal symmetry in brane dynamics.

Findings

Superconformal currents form supersymmetry multiplets.

Superconformal symmetry breaking terms are related to primary currents.

The supercurrent components include R symmetry, supersymmetry, and energy-momentum tensors.

Abstract

The Noether currents associated with the non-linearly realized super-Poincare' symmetries of the Green-Schwarz (Nambu-Goto-Akulov-Volkov) action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace are constructed. The R symmetry current, the supersymmetry currents, the energy-momentum tensor and the scalar central charge current are shown to be components of a world volume supercurrent. The centrally extended superconformal transformations are realized on the Nambu-Goldstone boson and fermion fields of the non-BPS brane. The superconformal currents form supersymmetry multiplets with the world volume conformal central charge current and special conformal current being the primary components of the supersymmetry multiplets containing all the currents. Correspondingly the superconformal symmetry breaking terms form supersymmetry multiplets the components of which are obtainable as supersymmetry transformations of the primary currents' symmetry breaking terms.