Integrability treatment of AdS/CFT orbifolds

Abstract

We elaborate on the treatment of orbifolds of type IIB string theory on and their dual gauge theories with integrability techniques. The implementation of orbifolds via twisted spin-chains, thermodynamic Bethe ansatz equations with chemical potentials and Y- and T-systems with modified asymptotics is confronted with twisted boundary conditions of the string sigma-model. This allows us to consistently twist the quantum spectral curve, which is believed to bridge the two sides of the AdS/CFT duality. We discuss Abelian orbifolds of and treat the special cases of supersymmetric -orbifolds and type 0B string theory on as primary examples. This opens a pathway to probe the validity of the duality and to study the long-standing question of tachyon stabilisation in non-supersymmetric AdS/CFT. We comment on the current understanding of this issue and point out the next steps in this challenge.