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 configurations, which are static for some choice of global AdS 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 − 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 AdS 2 is determined by the phase of their central charge.

Black hole deconstruction

“…As shown in [11] this breaks half the supersymmetry. Clearly this leaves unbroken both SU (2) rotations of the S 2 and U (1) rotations of the AdS 3 .…”

“…Configurations preserving the same supersymmetries also exist which carry angular momentum in the AdS 3 [11]. These are given by ρ = ρ 0 ,…”

D0-branes in black hole attractors

“…This implies, as for an electron in a magnetic field, that at low energies the coordinates of a single D0 become noncommuting 4) and that the low energy configurations have S 2 wave functions described by one of the p 0 + 1 lowest Landau levels. 7 It can be seen 8 that for an appropriate AdS 2 trajectory, as described in [6], these lowest Landau levels preserve one-half, or a total of 4, near-horizon 7 The number of lowest Landau levels is p 0 + 1 instead of p 0 due to the curvature of the S 2 .…”

“…In this paper we continue this chapter, expanding the classical analysis of [6] by studying D0-brane configurations, including quantum effects as well as non-abelian effects for multiple D0-branes. One interesting result is that, due to magnetic RR fields, the D0-branes probe a non-commutative deformation of the attractor geometry.…”

Superstrings in AdS2×S2×T6

“…One can see that these values of the charges forbid any term in the action with a single y or υ, provided that only neutral terms appear. 16 Let us also note that when the string moves in T 6 (i.e. the coordinates y are not constant) it is possible to gauge-fix the eight fermions ϑ to zero using half of the kappa-symmetries.…”