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On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM

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Beisert,  Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

0707.1031v1.pdf
(Preprint), 406KB

jhep102007031.pdf
(Publisher version), 431KB

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Citation

Beisert, N., & Zwiebel, B. I. (2007). On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM. Journal of High Energy Physics, 2007(10): 031.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-47D0-3
Abstract
Strong evidence indicates that the spectrum of planar anomalous dimensions of N=4 super Yang-Mills theory is given asymptotically by Bethe equations. A curious observation is that the Bethe equations for the psu(1,1|2) subsector lead to very large degeneracies of 2^M 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 su(2) automorphism of psu(1,1|2). Then the degenerate multiplets of size 2^M transform in irreducible tensor products of M two-dimensional evaluation representations of the loop algebra.