A dynamic su(1|1)^2 S-matrix for AdS3/CFT2

Abstract

We derive the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/CFT2 by considering the centrally extended su(1|1)^2 algebra acting on the spin-chain excitations. The S-matrix is determined uniquely up to four scalar factors, which are further constrained by a set of crossing relations. The resulting scattering includes non-trivial processes between magnons of different masses that were previously overlooked.

41 pages, 4 figures. v2: corrected a misprint in appendix E, updated references, corrected some typos. v3: added a new appendix F with comparison to the literature, changed notation for the crossing equations, added references. Published version

References in corpus (6)

• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• All-loop Bethe ansatz equations for AdS3/CFT2
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Comments On String Theory
• S-matrix for magnons in the D1-D5 system
• Exact S-matrices for AdS_3/CFT_2

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