Integrable S matrix, mirror TBA and spectrum for the stringy AdS(3) x S-3 x S-3 x S-1 WZW model
- Journal Article
Rights / licenseCreative Commons Attribution 4.0 International
We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS AdS3 × S3 × S3 × S1. We show that it is proportional to the identity and that it takes the same form as for AdS3 × S3 × T4 and for flat space. Based on this, we make a conjecture for the exact worldsheet S matrix and derive the mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum. Despite a non-trivial vacuum energy, they can be solved in closed form and coincide with a simple set of Bethe ansatz equations — again much like AdS3 × S3 × T4 and flat space. This suggests that the model may have an integrable spin-chain interpretation. Finally, as a check of our proposal, we compute the spectrum from the worldsheet CFT in the case of highest-weight representations of the underlying Kač-Moody algebras, and show that the mirror-TBA prediction matches it on the nose Show more
Journal / seriesJournal of High Energy Physics
Pages / Article No.
SubjectAdS-CFT Correspondence; Integrable Field Theories; Bethe Ansatz; AdS-CFT Correspondence; Integrable Field Theories; Bethe ansatz
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