Supersymmetric Branes in AdS_2 x S^2 x CY_3

TL;DR

This paper investigates supersymmetric brane configurations in the near-horizon geometry of Calabi-Yau black holes, revealing conditions for half-BPS states and multibrane arrangements in AdS2 x S^2 x CY3.

Contribution

It provides a detailed analysis of supersymmetric branes in AdS2 x S^2 x CY3, identifying conditions for half-BPS configurations and multibrane setups with arbitrary charges.

Findings

Half-BPS static brane configurations exist for various charges.

Multibrane configurations are possible if charges share the same symplectic sign.

Brane positions are determined by the phase of their central charge.

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 configurations, which are static for some choice of global AdS2 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^Iv_I-u^Iq_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 AdS2 is determined by the phase of their central charge.