Consistent Quantization of Noncommutative D-brane in Non-constant B Field Background

TL;DR

This paper develops a method for quantizing D-branes in non-constant B field backgrounds, resulting in a consistent deformation of noncommutative geometry that accounts for curvature effects.

Contribution

It extends previous work by deriving constraints on the B field for consistent quantization, incorporating curvature into noncommutative D-brane models.

Findings

Derived constraints on B field for consistent quantization

Extended noncommutative D-brane framework to curved backgrounds

Provided a quantum consistent deformation of noncommutative geometry

Abstract

We perform the consistent quantization of open string D-brane in non-constant NS-NS closed string B field background by directly imposing the worldsheet conformal symmetry. In addition to the previous noncommutative D-brane coordinates quantization with constant noncommutative parameter $\theta $, we obtain a set of constraints on the B field which can be interpreted as a quantum consistent deformation of a curved noncommutative D-brane.