Matrix Factorizations For Non-Abelian Orbifolds

TL;DR

This paper presents a method for constructing fractional branes in Landau-Ginzburg orbifolds, focusing on non-abelian cases like S_3 and D_n, with explicit spectrum computations involving higher rank matrices.

Contribution

It introduces a prescription for fractional branes in non-abelian Landau-Ginzburg orbifolds, including detailed examples and spectrum calculations.

Findings

Explicit construction of fractional branes in non-abelian orbifolds

Spectrum computation involving higher rank matrix factorizations

Application to S_3 and D_n orbifolds

Abstract

We discuss a prescription to construct fractional branes in Landau-Ginzburg orbifolds, with particular attention to the case of non-abelian orbifolds. We analyze in detail a S_3 orbifold and a D_n orbifold and show how the computation of the spectrum can be carried out explicitly even when the factorizations involve higher rank matrices.