Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field

Abstract

We consider D3-brane action in the maximally supersymmetric type IIB plane-wave background. Upon fixing the light-cone gauge, we obtain the light-cone Hamiltonian which is manifestly supersymmetric. The 1/2 BPS solutions of this theory (solutions which preserve 16 supercharges) are either of the form of spherical three branes, the giant gravitons, or zero size point like branes. We then construct specific classes of 1/4 BPS solutions of this theory in which static electric field on the brane is turned on. These solutions are deformations about either of the two 1/2 BPS solutions. In particular, we study in some detail 1/4 BPS configurations with electric dipole on the three sphere giant, i.e. BIons on the giant gravitons, which we hence call BIGGons. We also study BPS configurations corresponding to turning on a background uniform constant electric field. As a result of this background electric field the three sphere giant is deformed to squashed sphere, while the zero size point like branes turn into circular or straight fundamental strings in the plane-wave background, with their tension equal to the background electric field.

32 pages, 1 eps figure; v2: Presentation of derivation of light-cone Hamiltonian improved, Refs added

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• Hidden Yangian symmetry in sigma model on squashed sphere
• Brane Effective Actions, Kappa-Symmetry and Applications
• Fuzzy Ring from M2-brane Giant Torus
• Emergent Threebrane Lattices
• Geometry of all supersymmetric four-dimensional $\mathcal{N}=1$ supergravity backgrounds
• Electrified branes
• Null Melvin Twist to Sakai-Sugimoto model
• S^2 x S^3 geometries in ABJM and giant gravitons
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• A D2-brane in the Penrose limits of AdS(4)x CP(3)