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A quick guide to defect orbifolds

Ilka Brunner, Nils Carqueville, Daniel Plencner

Abstract

We provide a lightning review of the construction of (generalised) orbifolds [arXiv:0909.5013, arXiv:1210.6363] of two-dimensional quantum field theories in terms of topological defects, along the lines of [arXiv:1307.3141]. This universal perspective has many applications, some of which we sketch in the examples of 2d Yang-Mills theory, Landau-Ginzburg models, and rational CFT.

A quick guide to defect orbifolds

Abstract

We provide a lightning review of the construction of (generalised) orbifolds [arXiv:0909.5013, arXiv:1210.6363] of two-dimensional quantum field theories in terms of topological defects, along the lines of [arXiv:1307.3141]. This universal perspective has many applications, some of which we sketch in the examples of 2d Yang-Mills theory, Landau-Ginzburg models, and rational CFT.

Paper Structure

This paper contains 2 sections, 27 equations.

Table of Contents

  1. Orbifolds via defects
  2. Generalised orbifolds via defects

Theorems & Definitions (4)

  • Example 1: 'Discrete' two-dimensional Yang-Mills theory
  • Example 2: Landau-Ginzburg orbifolds
  • Example 3: Rational conformal field theory
  • Example 4: ADE Landau-Ginzburg models