The Nambu-Goto Theory of Closed Bosonic Strings Moving in 1+3-Dimensional Minkowski Space: The Construction of the Quantum Algebra of Observables up to Degree Five

TL;DR

This paper constructs the quantum algebra of closed bosonic strings in 1+3-dimensional Minkowski space up to degree five, detailing relations and parameters involved in the algebraic structure.

Contribution

It provides the explicit construction of the quantum algebra of observables up to degree five, including all degree four relations with undetermined parameters.

Findings

All independent degree four relations are identified.

The algebraic structure is explicitly constructed up to degree five.

Parameters in relations are partially undetermined.

Abstract

The quantum algebra of observables postulated in hep-th/9805057 is constructed up to degree five. All independent relations of degree four are given; they involve three as yet undetermined parameters. Definitions and symbols are used as introduced in the above-mentioned article.