Twist Quantization of String and Hopf Algebraic Symmetry

TL;DR

This paper introduces a twist quantization framework for string theory that unifies quantization and symmetry description using Hopf algebra twisting, with a method for decomposing twists and applications to various examples.

Contribution

It presents a novel approach to twist quantization of string theory, unifying quantization and symmetry through Hopf algebra twisting and decomposition techniques.

Findings

Unified description of quantization and symmetry in string theory.

Method for decomposing twists into successive twists.

Application to finite twisted diffeomorphisms and zero modes.

Abstract

We describe the twist quantization of string worldsheet theory, which unifies the description of quantization and the target space symmetry, based on the twisting of Hopf and module algebras. We formulate a method of decomposing a twist into successive twists to analyze the twisted Hopf and module algebra structure, and apply it to several examples, including finite twisted diffeomorphism and extra treatment for zero modes.