Abstract
In this paper we describe some recent progresses in the study of the leading quantum correction at strong coupling of the dressing phase appearing in the Bethe Ansatz for string theory on the AdS3 × S3 × T4 background. Using the SU(2) rigid circular string as guiding example, we find that the phase is different than in the AdS5,4 cases. We discuss in detail the determination of the phase using both a Word-Sheet approach and the Algebraic Curve formalism.
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