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On Yangian and long representations of the centrally extended su(2|2) superalgebra

Arutyunov, G, De Leeuw, M and Torrielli, A (2010) On Yangian and long representations of the centrally extended su(2|2) superalgebra Journal of High Energy Physics, 6. 033 - ?. ISSN 1126-6708

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The centrally extended su(2|2) superalgebra is an asymptotic symmetry of the light-cone string sigma model on AdS5 × S5. We consider an evaluation representation of the conventional Yangian built over a particular 16-dimensional long representation of the centrally extended su(2|2). Interestingly, we find that S-matrices compatible with this evaluation representation do not exist. On the other hand, by requiring centrally extended su(2|2) invariance and explicitly solving the Yang-Baxter equation, we find a scattering matrix for long-short representations of the Lie superalgebra. We notice that this S-matrix is invariant under a different representation of non-evaluation type, induced from the tensor product of short representations. Our findings concern the conventional Yangian only, and are not applied to possible algebraic extensions of the latter.

Item Type: Article
Additional Information: The original publication is available at
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 27 Jan 2012 12:35
Last Modified: 23 Sep 2013 18:57

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