Supersymmetric D3 brane action in AdS_5 x S^5

TL;DR

This paper derives a supersymmetric and kappa-invariant D3-brane action in the AdS_5 x S^5 background, utilizing the superalgebra su(2,2|4), and discusses its relation to super Yang-Mills theory.

Contribution

It provides the explicit construction of a supersymmetric D3-brane action in AdS_5 x S^5, extending previous string actions to higher-dimensional branes.

Findings

Constructed the supersymmetric D3-brane action in AdS_5 x S^5.

Ensured the action's kappa-invariance and supersymmetry.

Commented on the super Yang-Mills interpretation of the gauge-fixed action.

Abstract

We find the space-time supersymmetric and kappa-invariant action for a D3-brane propagating in the AdS_5 x S^5 background. As in the previous construction of the fundamental string action in this maximally supersymmetric string vacuum the starting point is the corresponding superalgebra su(2,2|4). We comment on the super Yang-Mills interpretation of the gauge-fixed form of the action.