Finite [q-Oscillator] Description of 2-D String Theory

TL;DR

This paper introduces a q-oscillator based framework to represent states in two-dimensional string theory, including backgrounds, providing a simplified physical picture and incorporating a fundamental cutoff.

Contribution

It presents a novel q-oscillator approach for modeling 2D string theory states and backgrounds, including a cutoff mechanism.

Findings

Representation of string states using q-oscillators

Inclusion of a fundamental cutoff in the model

Representation of negatively dressed states for nontrivial backgrounds

Abstract

We present a simple physical representation for states of the two-dimensional string theory. In order to incorporate a fundamental cutoff of the order 1/g we use a picture consisting of q-oscillators at the first-quantized level. In this framework we also find a representation for the (singular) negatively dressed states representing nontrivial string backgrounds.