Z-D Brane Box Models and Non-Chiral Dihedral Quivers

TL;DR

This paper develops a new approach to constructing Z-D type Brane Box Models, establishing their correspondence with non-Abelian orbifold singularities, and introduces non-chiral ${ m extbf{N}=1}$ quiver theories for dihedral and exceptional groups.

Contribution

It introduces a novel method for Z-D Brane Box Model construction and explores non-chiral ${ m extbf{N}=1}$ quiver theories for dihedral and exceptional groups.

Findings

Established the correspondence between Z-D Brane Box Models and non-Abelian orbifold singularities.

Constructed new non-chiral ${ m extbf{N}=1}$ quiver theories for dihedral and exceptional groups.

Discussed brane setup issues for these theories.

Abstract

Generalising ideas of an earlier work \cite{Bo-Han}, we address the problem of constructing Brane Box Models of what we call the Z-D Type from a new point of view, so as to establish the complete correspondence between these brane setups and orbifold singularities of the non-Abelian G generated by Z_k and D_d under certain group-theoretic constraints to which we refer as the BBM conditions. Moreover, we present a new class of ${\cal N}=1$ quiver theories of the ordinary dihedral group d_k as well as the ordinary exceptionals E_{6,7,8} which have non-chiral matter content and discuss issues related to brane setups thereof.