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On the worldsheet S matrix of the AdS3/CFT2 mixed-flux mirror model
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abstract
String on $AdS_3\times S^3\times T^4$ backgrounds are known to be classically integrable in the presence of a mixture of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. It is expected that this results in the existence of a well-defined factorised worldsheet S matrix. In order to use integrability to compute the string spectrum we need such a factorised S matrix to exist also for the "mirror" model, obtained by a double Wick rotation of the original worldsheet theory. In the mixed-flux case the mirror model has a complex Hamiltonian, which raises questions on its well-definedness. In the paper we study the worldsheet tree-level S matrix of the original and mirror model and discuss some necessary conditions for the integrability and reality of the spectrum.
Forward citations
Cited by 2 Pith papers
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Tree-level S matrix for $\lambda$-deformed AdS3 strings
For the λ-deformed AdS3×S3×T4 superstring, the tree-level bosonic worldsheet S matrix is purely elastic for 0≤λ<1, confirming integrability, and ill-defined at λ→1, so that limit does not capture T-dual worldsheet dynamics.
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Dressing Factors and Mirror Thermodynamic Bethe Ansatz for mixed-flux AdS3/CFT2
Massless dressing factors for the mixed-flux AdS3xS3xT4 S-matrix are completed from the massive ones, checked against all symmetries and tree-level perturbation theory, and used to propose mirror TBA equations.
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