Generalization of Some Algebras in the Bosonic String Theory

TL;DR

This paper explores how assuming a non-commutative target phase space in bosonic string theory generalizes the oscillator and Virasoro algebras, affecting string states and their properties.

Contribution

It introduces a non-commutative framework for the target phase space, extending the algebraic structures in bosonic string theory.

Findings

Generalized oscillator algebra due to non-commutativity

Modified Virasoro algebra structure

Impacts on specific string states

Abstract

We assume that the total target phase space is non-commutative. This leads to the generalization of the oscillator-algebra of the string, and the corresponding Virasoso algebra. The effects of this non-commutativity on some string states will be studied.