The Nambu-Goto Theory of Closed Bosonic Strings Moving in 1+3-Dimensional Minkowski Space: The Quantum Algebra of Observables

TL;DR

This paper explores the quantum algebra of observables for closed bosonic strings in 1+3-dimensional Minkowski space, providing generating relations with an undetermined parameter, advancing understanding of string quantum algebra.

Contribution

It introduces a set of generating relations for the quantum algebra of closed bosonic strings, including an undetermined parameter, offering new insights into string quantization.

Findings

Presented a partial quantum algebra structure for strings in 4D

Identified a free real parameter in the algebraic relations

Contributed to the mathematical foundation of string quantum theory

Abstract

A relevant part of the quantum algebra of observables for the closed bosonic strings moving in 1+3-dimensional Minkowski space is presented in the form of generating relations involving still one, as yet undetermined, real free parameter.