Constrained Quantization of Open String in Background B Field and Noncommutative D-brane

TL;DR

This paper demonstrates a consistent quantization of open strings with a background B field using Dirac's method, extending the analysis to fermionic sectors and confirming previous results.

Contribution

It introduces a Dirac constrained quantization approach for open strings in B fields and extends the framework to include fermionic sectors.

Findings

Quantization consistent with previous results

Extension to fermionic sectors achieved

Method confirms robustness of quantization approach

Abstract

In a previous paper we provided a consistent quantization of open strings ending on D-branes with a background $B$ field. In this letter, we show that the same result can also be obtained using the more traditional method of Dirac's constrained quantization. We also extend the discussion to the fermionic sector.