Short Distance Operator Product Expansion of the 1D, N = 4 Extended GR Super Virasoro Algebra by Use of Coadjoint Representations

dc.creatorChappell II, Isaac
dc.creatorGates Jr, S. James
dc.date2008-01-24
dc.date.accessioned2026-07-07T12:34:10Z
dc.date.available2026-07-07T12:34:10Z
dc.descriptionUsing the previous construction of the geometrical representation (GR) of the centerless 1D, N = 4 extended Super Virasoro algebra, we construct the corresponding Short Distance Operation Product Expansions for the deformed version of the algebra. This algebra differs from the regular algebra by the addition of terms containing the Levi-Civita tensor. How this addition changes the super-commutation relations and affects the Short Distance Operation Product Expansions (OPEs) of the associated fields is investigated. The Method of Coadjoint Orbits, which removes the need first to find Lagrangians invariant under the action of the symmetries, is used to calculate the expansions. Finally, an alternative method involving Clifford algebras is investigated for comparison.
dc.description20 pages, corrected typos
dc.identifierhttps://arxiv.org/abs/0801.3687
dc.identifierhttp://arxiv.org/abs/0801.3687
dc.identifierJHEP 0901:054,2009
dc.identifierdoi:10.1088/1126-6708/2009/01/054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217331
dc.subjectHigh Energy Physics - Theory
dc.titleShort Distance Operator Product Expansion of the 1D, N = 4 Extended GR Super Virasoro Algebra by Use of Coadjoint Representations
dc.typetext

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