On the relation between Volkov-Akulov and special conformal supersymmetry: a D3-brane perspective

TL;DR

This paper derives the superconformal symmetry transformations for a D3-brane in an AdS5×S5 background, showing how they reduce to Volkov-Akulov supersymmetry in the large R-limit, and proposes a scheme for higher derivative invariants in N=4 supergravity.

Contribution

It provides a complete derivation of superconformal transformations on a D3-brane and links them to Volkov-Akulov supersymmetry, offering a new approach for constructing higher derivative invariants.

Findings

Superconformal transformations on D3-brane worldvolume derived.

Large R-limit recovers Minkowski supersymmetries, including Volkov-Akulov.

Proposed scheme for higher derivative invariants in N=4 supergravity.

Abstract

We obtain the complete superconformal symmetry transformations on the worldvolume of a D3-brane in an $AdS_5\times S^5$ background by using a coset superspace approach. We show that in the large $R$-limit we recover all supersymmetries present on the worldvolume of a D3-brane in a Minkowski background, in particular the Volkov-Akulov supersymmetry. We conclude with a proposal for a scheme to construct higher derivative invariants in $D=4$, $\mathcal{N}=4$ settings.