Orbifolds of AdS_5xS^5 and 4d Conformal Field Theories

TL;DR

The paper investigates how four-dimensional SCFTs derived from orbifolds of N=4 SYM map to supergravity on AdS5×S5 orbifolds by matching Kaluza-Klein states to (chiral) primary operators on the boundary. It systematically analyzes N=1, N=2, and nonsupersymmetric cases via Gamma-projections, detailing which KK modes survive and which boundary operators they correspond to, with special attention to protected dimensions and R-symmetry representations. It shows that chiral information is robustly encoded in the gravity side even when fixed-point effects challenge the supergravity description, and discusses implications for beta-functions, fixed lines at large N, and possible finite-N effects. The work also notes the potential for generalization to other AdS backgrounds and highlights open questions regarding Yukawa couplings and higher-loop behavior in these orbifold theories.

Abstract

We study the relation between the large Nc limit of four dimensional N=2,1,0 conformal field theories and supergravity on orbifolds of AdS_5xS^5. We analyze the Kaluza-Klein states of the supergravity theory and relate them to the spectrum of (chiral) primary operators of the (super) conformal field theories.