Beyond the tensionless limit: integrability in the symmetric orbifold

Author:

Gaberdiel Matthias R.ORCID,Gopakumar RajeshORCID,Nairz BeatORCID

Abstract

Abstract The symmetric orbifold of 𝕋4 is exactly dual to string theory on AdS3 × S3 × 𝕋4 with minimal (k = 1) NS-NS flux. In this paper we study the perturbation of the symmetric orbifold that is dual to switching on R-R flux, and hence to deforming the theory away from the tensionless point. More specifically, we determine systematically the action of a centrally extended supersymmetry algebra on the CFT states, and deduce from it the anomalous conformal dimensions. In the w-twisted sector with large w the structure is similar to what was found for $$ \mathcal{N} $$ N = 4 SYM: the basic excitations are multi-magnons whose individual dispersion relation is fixed by symmetry, and the comparison with the BMN answer suggests that the result is true to all orders in perturbation theory. Finally we show that the multi-magnon states interact via an integrable S-matrix and possess a natural family of bound states.

Publisher

Springer Science and Business Media LLC

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Type II string theory on AdS3×S3×T4 and symmetric orbifolds;Physical Review D;2024-08-30

2. Comments on integrability in the symmetric orbifold;Journal of High Energy Physics;2024-08-22

3. Boundary scattering in massless AdS3;Journal of High Energy Physics;2024-07-30

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