Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions

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dc.creatorD'Adda, Alessandro
dc.creatorKanamori, Issaku
dc.creatorKawamoto, Noboru
dc.creatorNagata, Kazuhiro
dc.date2007-07-24
dc.date2008-01-26
dc.date.accessioned2026-07-07T11:41:35Z
dc.date.available2026-07-07T11:41:35Z
dc.descriptionWe propose a lattice formulation of three dimensional super Yang-Mills model with a twisted N=4 supersymmetry. The extended supersymmetry algebra of all the eight supercharges is fully and exactly realized on the lattice with a modified "Leibniz rule". The formulation we employ here is a three dimensional extension of manifestly gauge covariant method which was developed in our previous proposal of Dirac-Kaehler twisted N=2 super Yang-Mills on two dimensional lattice. The twisted N=4 supersymmetry algebra is geometrically realized on a three dimensional lattice with link supercharges and the use of "shifted" (anti-)commutators. A possible solution to the recent critiques on the link formulation will be discussed.
dc.description17 pages, 11 figures; v2 a reference added; v3 appendix added
dc.identifierhttps://arxiv.org/abs/0707.3533
dc.identifierhttp://arxiv.org/abs/0707.3533
dc.identifierNucl.Phys.B798:168-183,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.01.026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200586
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleExact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
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