Special Conformal Symmetry of Worldvolume Actions

TL;DR

This paper investigates the gauge-fixed worldvolume actions of D3-, M5-, and M2-branes in near horizon geometries, demonstrating their generalized special conformal symmetry and exploring implications for superconformal symmetry preservation.

Contribution

It establishes the generalized special conformal symmetry of coupled, gauge-fixed brane actions in near horizon backgrounds, highlighting potential superconformal symmetry retention.

Findings

Confirmed generalized special conformal symmetry in the gauge-fixed actions.

Identified conditions under which superconformal symmetry may persist.

Provided a framework for analyzing symmetry in curved brane backgrounds.

Abstract

Kappa-symmetric worldvolume actions of the D3-, M5- and M2-branes can be coupled consistently to their near horizon bosonic geometry background. We study the gauge-fixed action in the approximation in which only the transverse radial direction of the brane is allowed to fluctuate. The generalized special conformal symmetry of these self-interacting actions is established. This opens up a possibility to find out if the full superconformal symmetry of the free actions of these branes survives in the presence of coupling defined by the size of the anti-deSitter throat.