Consistency Conditions for AdS/CFT Embeddings

TL;DR

This paper investigates the conditions under which finite group embeddings in orbifolded AdS/CFT models ensure consistent quiver gauge theories, covering both supersymmetric and non-supersymmetric cases.

Contribution

It formulates explicit consistency rules for embedding finite groups into the isotropy of $S^5$ in orbifold AdS/CFT models, applicable to Abelian and Non-Abelian groups.

Findings

Derived conditions for consistent group embeddings in orbifold models

Unified treatment of supersymmetric and non-supersymmetric cases

Clarified the role of group structure in AdS/CFT embeddings

Abstract

The group embeddings used in orbifolding the AdS/CFT correspondence to arrive at quiver gauge field theories are studied for both supersymmetric and non-supersymmetric cases. For an orbifold $AdS_5 \times S^5/\Gamma$ the conditions for embeddings of the finite group $\Gamma$ in the $SU(4) \sim O(6)$ isotropy of $S^5$ are stated in the form of consistency rules, both for Abelian and Non-Abelian $\Gamma$.