Electrified Dp-Branes Intersections

TL;DR

This review explores electrified Dp-branes intersections, analyzing solutions with electric fields, boundary conditions, dualities, and exotic particle interactions, revealing new configurations and properties in string theory effective models.

Contribution

It provides new solutions and insights into electrified Dp-branes intersections, including space-time dependent solutions, boundary condition analysis, duality properties, and the description of anyons on fuzzy spheres.

Findings

Solutions with electric fields extend known configurations.

D1-D3 and D1-D5 systems obey Neumann boundary conditions.

The D2-brane system exhibits screening behavior for exotic particles.

Abstract

In this review, we introduce the electrified Dp-branes intersections in the low energy effective theory. We focus on D1-D3, D1-D5 and D0-D2 branes. We give the solutions configurations in the low energy effective theory in the absence and the presence of electric field by exciting one, two and three scalars in D3 system. The solutions from D3 point of view in the last two cases are given as a spike which is interpreted as an attached bundle of a superposition of coordinates of another brane given as a collective coordinate a long which the brane extends away from the D3-brane. The lowest energy in both cases is higher than the energy found in the case of D1$\bot$D3 branes. We also find space-time dependent solutions in D1-D3 system that are a natural generalization of those found without the electric field. Then, we show that, in the flat background, the D1-D3 and D1-D5 branes obey Neumann boundary conditions by discussing the fluctuations of fuzzy funnel solutions in both systems. Also, we give the broken duality in D1-D3 system and the unbroken duality in D1-D5 system. In D0-D2 system, we consider generalized Maxwell theory by introducing a generalized connection put at the origin of the spherical D2-brane to describe anyons instead of Chern-Simons term. The D2-brane got a higher energy and the static potential for two opposite charged exotic particles is found to have a screening nature on a fuzzy two-sphere instead of confinement which is a special property of the system on the plane.