Orbifolds AdS_7xS^4 and Six Dimensional (0, 1) SCFT

TL;DR

The paper addresses how the large-$N$ limit of six-dimensional $(0,1)$ SCFTs can be captured by M-theory on orbifolds of $AdS_7 \times S^4$ by projecting the known KK spectrum; The main approach is to apply $\Gamma$-invariant projections to untwisted KK modes to read off chiral primary operators on the M5-brane worldvolume. The key findings include three dimension-4 chiral primaries from the $k=2$ sector, a dimension-5 $SU(2)_R$ singlet from the massless vector, and the absence of dimension-2 and dimension-6 primaries in the untwisted sector, with notes on how twisted sectors could modify the spectrum. This extends AdS/CFT to less-supersymmetric six-dimensional theories and points to twisted sectors as a path to a fuller operator map and singularity regulation.

Abstract

We analyze the relation between the large N limit of 6 dimensional superconformal field theories with eight supercharges and M theory on orbifolds of AdS_7xS^4. We use the known spectrum of Kaluza-Klein harmonics of supergravity on AdS_7xS^4 and we take their orbifold projection to get information about the chiral primary operators of 6 dimensional SCFT which is realized on the worldvolume of M5 brane sitting at the orbifold singularities.