Noncommutative D-brane and Open String in pp-wave Background with B-field

TL;DR

This paper analyzes the exact solvability of open strings ending on D-branes with a B-field in a pp-wave background, revealing a fully noncommutative phase space influenced by multiple parameters and exploring the spectrum's novel features.

Contribution

It provides a complete quantization of open strings in a pp-wave with B-field, uncovering a fully noncommutative phase space and analyzing the spectrum's new characteristics.

Findings

Full noncommutative phase space determined

Spectrum exhibits new features due to noncommutativity

Scaling limits and physical implications discussed

Abstract

The open string ending on a D-brane with a constant B-field in a pp-wave Ramond-Ramond background is exactly solvable. The theory is controlled by three dimensionful parameters: alpha', the mass parameter (RR background times the lightcone momentum) and the B-field. We quantize the open string theory and determine the full noncommutative structure. In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters. The lightcone Hamiltionian is obtained, and as a consequence of the nontrivial commutation relations of the theory, new features of the spectrum are noted. Various scaling limits of the string results are considered. Physical implications are discussed.