Zero Modes in a $c = 2$ Matrix Model

TL;DR

This paper investigates the role of zero modes in a $c=2$ matrix model using a constrained light-cone quantization approach, revealing their coupling with the rest of the theory and emphasizing their importance in non-critical string limits.

Contribution

It demonstrates that zero modes are coupled to the non-zero modes in the $c=2$ matrix model, highlighting the necessity of implementing constrained light-cone quantization.

Findings

Zero modes are coupled to the rest of the theory.

Constrained light-cone quantization should be used.

Zero modes are important in the non-critical string limit.

Abstract

Recently \REF\dk{Simon Dalley and Igor Klebanov,'Light Cone Quantization of the $c=2$ Matrix Model', PUPT-1333, hepth@xxx/920705} \refend Dalley and Klebanov proposed a light-cone quantized study of the $c=2$ matrix model, but which ignores $k^{+}=0$ contributions. Since the non-critical string limit of the matrix model involves taking the parameters $\lambda$ and $\mu$ of the matrix model to a critical point, zero modes of the field might be important in this study. The constrained light-cone quantization (CLCQ) approach of Heinzl, Krusche and Werner is applied . It is found that there is coupling between the zero mode sector and the rest of the theory, hence CLCQ should be implemented.