Comment on "Constraint Quantization of Open String in Background B field and Noncommutative D-brane"

TL;DR

This paper critically examines a previous claim about the boundary constraints and non-commutative structure of D-branes in a background B field, showing that the constraints are finite and the non-commutativity cannot be derived from Dirac brackets.

Contribution

It challenges prior assertions by demonstrating the boundary constraints are finite and the non-commutative algebra cannot be obtained through Dirac brackets.

Findings

Boundary constraints are finite, contrary to previous claims.

Non-commutative algebra cannot be derived from Dirac brackets.

Revises understanding of boundary conditions in string theory with background B field.

Abstract

In the paper "Constraint Quantization of Open String in Background $B$ field and Noncommutative D-brane", it is claimed that the boundary conditions lead to an infinite set of secondary constraints and Dirac brackets result in a non-commutative Poisson structure for D-brain. Here we show that contrary to the arguments in that paper, the set of secondary constraints on the boundary is finite and the non-commutativity algebra can not be obtained by evaluating the Dirac brackets.