Supersymmetric D-brane probes in 4D N = 2 AdS 2 × S 2 attractors

We extend the κ -symmetry analysis of supersymmetric D-brane probes in the AdS 2 × S 2 attractor geometry, originally performed by Simons, Strominger, Thompson, and Yin to also include stationary—but nonstatic—worldlines carrying angular momentum along the 2-sphere. We demonstrate that certain special trajectories, with fixed radius and orbital velocity, solve the equations of motion and moreover satisfy a supersymmetry preserving condition, thus defining new 1 2 -BPS configurations. Furthermore, these classical paths are shown to saturate a lower bound for the Hamiltonian generating global time translations, with the corresponding minimal energy depending on a generalized angular momentum vector J . The direction of the latter, in turn, determines exactly which supercharges remain unbroken. Our results reveal a richer spectrum of (multiparticle) supersymmetric states in AdS 2 × S 2 , which can be organized into distinct selection sectors labeled by the conserved S U ( 2 ) charges. This construction has direct applications in black hole microstate counting, the analysis of probe dynamics, and AdS 2 / CFT 1 holography.