Hidden symmetries and integrable hierarchy of the script N sign = 4 supersymmetric Yang-Mills equations

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Authors

  • Alexander D. Popov
  • Martin Wolf

Research Organisations

External Research Organisations

  • Joint Institute for Nuclear Research
  • Imperial College London
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Details

Original languageEnglish
Pages (from-to)685-708
Number of pages24
JournalCommunications in Mathematical Physics
Volume275
Issue number3
Early online date15 Aug 2007
Publication statusPublished - Nov 2007

Abstract

We describe an infinite-dimensional algebra of hidden symmetries of script N sign = 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 script N sign = 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 script N sign = 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 script N sign = 4 SYM theory.

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Cite this

Hidden symmetries and integrable hierarchy of the script N sign = 4 supersymmetric Yang-Mills equations. / Popov, Alexander D.; Wolf, Martin.
In: Communications in Mathematical Physics, Vol. 275, No. 3, 11.2007, p. 685-708.

Research output: Contribution to journalArticleResearchpeer review

Popov AD, Wolf M. Hidden symmetries and integrable hierarchy of the script N sign = 4 supersymmetric Yang-Mills equations. Communications in Mathematical Physics. 2007 Nov;275(3):685-708. Epub 2007 Aug 15. doi: 10.1007/s00220-007-0296-1
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