# Notes on worldvolume supersymmetries for D-branes on AdS_5 X S^5 background

## TL;DR

This paper analyzes the supersymmetry properties of static D-branes in AdS_5 x S^5, showing that only AdS-type D-branes preserve half of the supersymmetries without worldvolume flux.

## Contribution

It provides a covariant analysis of worldvolume supersymmetries for static D-branes in AdS_5 x S^5, identifying conditions for 1/2-BPS configurations without flux.

## Key findings

- Only AdS-type D-branes are 1/2-BPS in static configurations without flux.
- The worldvolume supersymmetry transformation rules are derived to leading order.
- The analysis clarifies the supersymmetry preservation conditions for D-branes in AdS_5 x S^5.

## Abstract

We revisit the 1/2-BPS D-branes on the AdS$_5\times$S$^5$ background. Based only on the classification of 1/2-BPS D-branes obtained by the covariant open string description, we consider various purely static configurations of D-branes without any worldvolume flux on the AdS$_5\times$S$^5$ background. Under the covariant $\kappa$ symmetry fixing condition, we investigate which part the spacetime supersymmetries is preserved on the D-brane worldvolume and obtain the associated worldvolume supersymmetry transformation rules to leading order in the worldvolume fluctuating fields. It is shown that, for purely static configurations without any worldvolume flux, only the AdS type D-branes, in which the AdS radial direction is one of worldvolume coordinates, are 1/2-BPS.