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ID: 318126.0, MPI für Gravitationsphysik / Duality & Integrable Structures
On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
Authors:Beisert, Niklas; Zwiebel, Benjamin I.
Date of Publication (YYYY-MM-DD):2007-10
Title of Journal:Journal of High Energy Physics
Volume:10
Sequence Number of Article:031
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Niklas Beisert
Affiliations:MPI für Gravitationsphysik/Duality & Integrable Structures
Identifiers:LOCALID:arXiv:0707.1031
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