Algebraic Aspects of Orbifold Models

TL;DR

This paper explores the algebraic structures of orbifold models on Riemann surfaces, detailing their symmetries, geometric operations, and introducing an extended quantum group framework.

Contribution

It provides a comprehensive analysis of algebraic properties and symmetries of orbifold models, including an infinite dimensional quantum group extension.

Findings

Explicit description of mapping class group actions

Introduction of an infinite dimensional quantum group extension

Detailed algebraic properties of orbifold models

Abstract

: Algebraic properties of orbifold models on arbitrary Riemann surfaces are investigated. The action of mapping class group transformations and of standard geometric operations is given explicitly. An infinite dimensional extension of the quantum group is presented.