A D2-brane in the Penrose limits of AdS(4)x CP(3)

Abstract

We consider a D2-brane in the pp-wave backgrounds obtained from AdS${}_4\times$CP${}^3$ when electric and magnetic fields have been turned on. Upon fixing the light-cone gauge, light-cone Hamiltonian and BPS configurations are obtained. In particular we study BPS configurations with electric dipole on the two sphere giant and a giant graviton rotating in transverse directions. Moreover we show that the gauge field living on the D2-brane is replaced by a scalar field in the light-cone Hamiltonian. We also present a matrix model by regularizing (quantizing) 2-brane theory.

14 pages

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• New Penrose Limits and AdS/CFT
• Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo

Cited by in corpus (3)

• Brane Embeddings in AdS_4 x CP^3
• Complete type IIA superstring action on IIA plane wave background
• F-string Solution in AdS4 X CP3 PP-wave Background