Deconstructing 5D supersymmetric U(1) gauge theories on orbifolds

TL;DR

This paper explores how five-dimensional supersymmetric U(1) gauge theories compactified on orbifolds can be deconstructed into four-dimensional theories, addressing issues like anomalies, chirality, and stability, with most configurations successfully deconstructed.

Contribution

It provides a systematic analysis of deconstructing 5D supersymmetric U(1) gauge theories on orbifolds, identifying conditions for successful deconstruction and highlighting exceptions.

Findings

Most bulk and matter configurations can be deconstructed.

Anomalies and chirality issues are discussed and addressed.

Some matter assignments cannot be deconstructed successfully.

Abstract

We investigate deconstruction of five dimensional supersymmetric abelian gauge theories compactified on $S_1/Z_2$, with various sets of bulk and matter multiplets. The problem of anomalies, chirality and stability in the deconstructed theories is discussed. We find that for most of the 5d brane/bulk matter assignments there exists the deconstructed version. There are, however, some exceptions.