Supersymmetric branes inAdS2×S2×CY3

Abstract

The problem of finding supersymmetric brane configurations in the near-horizon attractor geometry of a Calabi-Yau black hole with magnetic-electric charges $({p}^{I},{q}_{I})$ is considered. Half-BPS (Bogomol'nyi-Prasad-Sommerfield) configurations, which are static for some choice of global $Ad{S}_{2}$ coordinate, are found for wrapped brane configurations with essentially any four-dimensional charges $({u}^{I},{v}_{I})$. Half-BPS multibrane configurations can also be found for any collection of wrapped branes provided they all have the same sign for the symplectic inner product ${p}^{I}{v}_{I}\ensuremath{-}{u}^{I}{q}_{I}$ of their charges with the black hole charges. This contrasts with the Minkowski problem for which a mutually preserved supersymmetry requires alignment of all the charge vectors. The radial position of the branes in global $Ad{S}_{2}$ is determined by the phase of their central charge.