Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry

dc.creatorSpill, Fabian
dc.date2008-10-21
dc.date.accessioned2026-07-07T12:58:00Z
dc.date.available2026-07-07T12:58:00Z
dc.descriptionIn this paper we derive the universal R-matrix for the Yangian Y(u(2|2)), which is an abstract algebraic object leading to rational solutions of the Yang-Baxter equation on representations. We find that on the fundamental representation the universal R-matrix reduces to the standard rational R-matrix R = R_0(1 + P/u), where the scalar prefactor is surprisingly simple compared to prefactors one finds e.g. for sl(n) R-matrices. This leads precisely to the S-matrix giving the Bethe Ansatz of one-loop N = 4 Super Yang-Mills theory and two-loop N = 6 Chern-Simons theory.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0810.3897
dc.identifierhttp://arxiv.org/abs/0810.3897
dc.identifierJHEP 0903:014,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225100
dc.subjectHigh Energy Physics - Theory
dc.titleWeakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
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