Integrability treatment of AdS/CFT orbifolds

TL;DR

This paper develops integrability techniques to analyze orbifolds of AdS/CFT, enabling a consistent twist of the quantum spectral curve and exploring duality validity and tachyon stabilization in non-supersymmetric cases.

Contribution

It introduces a method to twist the quantum spectral curve for orbifolds, connecting string theory and gauge theory descriptions within integrability frameworks.

Findings

Successful twisting of the quantum spectral curve for orbifolds

Application to Abelian orbifolds and special supersymmetric cases

Insights into tachyon stabilization in non-supersymmetric AdS/CFT

Abstract

We elaborate on the treatment of orbifolds of type IIB string theory on $AdS_5\times S^5$ 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 $PSU(2,2|4)$ and treat the special cases of $\mathcal{N}=2$ supersymmetric $\mathbb{Z}_2$-orbifolds and type 0B string theory on $AdS_5\times S^5$ 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.