p-p' System with B-field, Branes at Angles and Noncommutative Geometry

TL;DR

This paper investigates the effects of a constant B-field on p-p' D-brane systems, revealing noncommutative geometry, spectrum characteristics, and connections to branes at angles and relative motion.

Contribution

It provides a detailed analysis of noncommutative geometry and spectrum in p-p' systems with B-fields, relating light states to brane configurations at angles.

Findings

Noncommutative worldvolume geometry is derived.

Spectrum analysis reveals light states in the zero slope limit.

Connections established between branes at angles and relative motion.

Abstract

We study the generic $p-p^\prime$ system in the presence of constant NS 2-form $B_{ij}$ field. We derive properties concerning with the noncommutativity of D-brane worldvolume, the Green functions and the spectrum of this system. In the zero slope limit, a large number of light states appear as the lowest excitations in appropriate cases. We are able to relate the energies of the lowest states after the GSO projection with the configurations of branes at angles. Through analytic continuation, the system is compared with the branes with relative motion.