Some Issues in Non-commutative Tachyon Condensation

TL;DR

This paper investigates non-commutative field theories in string theory, proposing that the degeneracy of solutions can be resolved by choosing the correct variables, thus aligning solutions with the physical spectrum of D-branes.

Contribution

It suggests a new approach to eliminate solution degeneracy in non-commutative tachyon condensation by selecting appropriate variables.

Findings

Degeneracy of solutions is due to variable choice.

Proper variables remove unwanted solution multiplicity.

Aligns mathematical solutions with physical D-brane spectrum.

Abstract

Techniques of non-commutative field theories have proven to be useful in describing D-branes as tachyonic solitons in open string theory. However, this procedure also leads to unwanted degeneracy of solutions not present in the spectrum of D-branes in string theories. In this paper we explore the possibility that this apparent multiplicity of solutions is due to the wrong choice of variables in describing the solutions, and that with the correct choice of variables the unwanted degeneracy disappears.