An Operator Approach To String Equations

TL;DR

This paper introduces an operator-based approach to string dynamics, utilizing non-commuting operators and the Virasoro algebra, offering a new perspective on string equations and gauge fixing.

Contribution

It proposes a novel operator framework for string equations, connecting non-commuting coordinates with the Virasoro algebra, expanding the theoretical understanding of string dynamics.

Findings

Operator approach aligns with standard string theory after gauge fixing

Uses Virasoro algebra to derive string equations of motion

Highlights the role of gauge fixing in the operator framework

Abstract

In this paper, a new approach to string dynamics is proposed. String coordinates are identified with a non-commuting set of operators familiar from free string quantization, and the dynamics follows from the Virasoro algebra. There is a very large gauge group operating on the non-commuting coordinates. The gauge has to be fixed suitably to make contact with the standard string picture.