A toolkit for defect computations in Landau-Ginzburg models

TL;DR

This paper provides a practical toolkit for computing defects in topological Landau-Ginzburg models, including methods for correlator calculations and duality analysis, with illustrative examples and connections to orbifolds.

Contribution

It introduces an accessible set of computational tools for defects in Landau-Ginzburg models, including proofs and methods for correlators and dualities.

Findings

Explicit computation methods for defect correlators

Proof of adjunctions using Pauli matrices

Connection to generalized orbifolds

Abstract

We review the results of arXiv:1208.1481 on orientation reversal and duality for defects in topological Landau-Ginzburg models, with the intention of providing an easily accessible toolkit for computations. As an example we include a proof of the main result on adjunctions in a special case, using Pauli matrices. We also explain how to compute arbitrary correlators of defect-decorated planar worldsheets, and briefly discuss the relation to generalised orbifolds.