Hidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills Equations

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dc.creatorPopov, Alexander D.
dc.creatorWolf, Martin
dc.date2006-08-31
dc.date.accessioned2026-07-07T11:07:12Z
dc.date.available2026-07-07T11:07:12Z
dc.descriptionWe describe an infinite-dimensional algebra of hidden symmetries of N=4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using the latter, we construct an infinite sequence of flows on the solution space of the N=4 SYM equations. The dependence of the SYM fields on the parameters along the flows can be recovered by solving the equations of the hierarchy. We embed the N=4 SYM equations in the infinite system of the hierarchy equations and show that this SYM hierarchy is associated with an infinite set of graded symmetries recursively generated from supertranslations. Presumably, the existence of such nonlocal symmetries underlies the observed integrable structures in quantum N=4 SYM theory.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0608225
dc.identifierhttp://arxiv.org/abs/hep-th/0608225
dc.identifierCommun.Math.Phys.275:685-708,2007
dc.identifierdoi:10.1007/s00220-007-0296-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189762
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleHidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills Equations
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