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

TL;DR

This paper studies D2-branes in pp-wave backgrounds derived from AdS4×CP3, analyzing BPS states, gauge field dynamics, and proposing a matrix model for the 2-brane theory.

Contribution

It introduces a detailed analysis of D2-branes with electric and magnetic fields in pp-wave backgrounds, including BPS configurations and a novel matrix model formulation.

Findings

Derived light-cone Hamiltonian and BPS configurations.

Identified gauge field replacement by scalar field in Hamiltonian.

Presented a matrix model for the 2-brane theory.

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.