Niklas Beisert and Benjamin I. Zwiebel JHEP10(2007)031 doi:10.1088/1126-6708/2007/10/031
On symmetry enhancement in the 
(1, 1|2) sector of 
= 4 SYM
Niklas Beisert1,2 and Benjamin I. Zwiebel2
Show affiliations = 4 super Yang-Mills theory is given asymptotically by Bethe equations. A curious observation is that the Bethe equations for the (1, 1|2) subsector lead to very large degeneracies of 2M multiplets, which apparently do not follow from conventional integrable structures. In this article, we explain such degeneracies by constructing suitable conserved nonlocal generators acting on the spin chain. We propose that they generate a subalgebra of the loop algebra for the (2) automorphism of (1, 1|2). Then the degenerate multiplets of size 2M transform in irreducible tensor products of M two-dimensional evaluation representations of the loop algebra.
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E-print Number: 0707.1031
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Issue 10 (October 2007)
Received 24 August 2007, accepted for publication 18 September 2007
Published 5 October 2007
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On symmetry enhancement in the (1, 1|2) sector of = 4 SYM
Niklas Beisert and Benjamin I. Zwiebel JHEP10(2007)031
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