ON THE SUPERSYMMETRY OF SPIKY BRANES IN AdS4×ℂℙ3
Abstract
We study supersymmetric D-brane configurations in AdS4×ℂℙ3 background, which is dual to the D = 3, Chern–Simons-matter theory discovered by Aharony et al. In particular, we consider D2 and D6-branes with fundamental strings attached to them. D2-branes are wrapped on ℂℙ1 ⊂ ℂℙ3 and dual to a symmetric product of Wilson lines, while D6-branes wrapping the entire ℂℙ3 correspond to baryonic vertices. We perform the κ-symmetry analysis to construct the BPS equations and find explicit solutions of the world-volume D-brane action. When one turns on the electric field, D2 and D6-brane configurations preserve 4 and 2 supercharges respectively.