Infinite Dimensional Geometry and Quantum Field Theory of Strings. II. Infinite Dimensional Noncommutative Geometry of a Self-Interacting String Field

TL;DR

This paper provides a geometric interpretation of quantum self-interacting string field theory, proposing an algorithm for nonperturbative construction within quantum group formalism and discussing background independence issues.

Contribution

It introduces a geometric framework for quantum self-interacting strings and an algorithm for nonperturbative quantization using quantum groups, advancing the understanding of string interactions.

Findings

Relations between different second quantization approaches are clarified.

An explicit algorithm for nonperturbative string field theory is proposed.

Background independence issues are discussed in the geometric context.

Abstract

A geometric interpretation of quantum self-interacting string field theory is given. Relations between various approaches to the second quantization of an interacting string are described in terms of the geometric quantization. An algorithm to construct a quantum nonperturbative interacting string field theory in the quantum group formalism is proposed. problems of a metric background (in)dependence are discussed.