Advances in Theoretical and Mathematical Physics · 2008 · 450 citations · 0 references
Natural SciencesPhysicsDynamical SystemsPhase TransformationsQuantum MechanicsGauge TheoryQuantum Field TheorySpin DynamicsSymmetry BreakingBethe TheoryExcitationLie Algebra So(3)Periodic ExcitationS-matrix TheorySpin ChainsSpin SystemsYang-mills Theory
We derive and investigate the S-matrix for the su(2|3) dynamic spin chain and for planar N = 4 super Yang-Mills. Due to the large amount of residual symmetry in the excitation picture, the S-matrix turns out to be fully constrained up to an overall phase. We carry on by diagonalizing it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equations for the su(2|3) dynamic spin chain and for N = 4 SYM.