On the massless modes of the AdS3/CFT2 integrable systems

Abstract

We make a proposal for incorporating massless modes into the spin-chain of the AdS3/CFT2 integrable system. We do this by considering the alpha to 0 limit of the alternating d(2,1;alpha)^2 spin-chain constructed in arXiv:1106.2558. In the process we encounter integrable spin-chains with non-irreducible representations at some of their sites. We investigate their properties and construct their R-matrices in terms of Yangians.

83 pages, 13 figures. v2: fixed typos and references. v3: extended appendix C

References in corpus (8)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The gravity duals of N=2 superconformal field theories
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
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• Yangians, S-matrices and AdS/CFT
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Cited by in corpus (1)

• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase