Integrability treatment of AdS/CFT orbifolds

Abstract

We elaborate on the treatment of orbifolds of type IIB string theory on $Ad{S}_5\times S^5$ 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 $Ad{S}_5\times S^5$ 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.

54 pages, 6 figures; v4: further calculations added, published version v3: comments and references added, some reformulations for clarity, v2: minor comment and references added

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Cited by in corpus (1)

• Exploring the twisted sector of ${\mathbb{Z}}_L$ orbifolds: Matching ${\alpha }^{\prime }$-corrections to localisation