Supersymmetric Vector Multiplets in Non-Adjoint Representations of SO(N)

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dc.creatorNishino, Hitoshi
dc.creatorRajpoot, Subhash
dc.date2007-04-22
dc.date.accessioned2026-07-07T10:35:40Z
dc.date.available2026-07-07T10:35:40Z
dc.descriptionIn the conventional formulation of N=1 supersymmetry, a vector multiplet is supposed to be in the adjoint representation of a given gauge group. We present a new formulation with a vector multiplet in the non-adjoint representation of SO(N) gauge group. Our basic algebra is [ T^I, T^J ] = f^{I J K} T^K, [ T^I, U^i ] = - (T^I)^{i j} U^j, [ U^i, U^j ] = - (T^I)^{i j} T^I, where T^I are the generators of SO(N), while U^i are the new 'generators' in certain non-adjoint real representation R of SO(N). We use here the word `generator' in the broader sense of the word. Such a representation can be any real representation of SO(N) with the positive definite metric, satisfying (T^I)^{i j} = - (T^I)^{j i} and (T^I)^{[ i j |} (T^I)^{| k ] l} \equiv 0. The first non-trivial examples are the spinorial 8_S and conjugate spinorial 8_C representations of SO(8) consistent with supersymmetry. We further couple the system to chiral multiplets, and show that a Higgs mechanism can give positive definite (mass)^2 to the new gauge fields for U^i. We show an analogous system working with N=1 supersymmetry in 10D, and thereby N=4 system in 4D interacting with extra multiplets in the representation R. We also perform superspace reformulation as an independent confirmation.
dc.description15 pages, no figures, to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0704.2905
dc.identifierhttp://arxiv.org/abs/0704.2905
dc.identifierPhys.Rev.D75:125018,2007
dc.identifierdoi:10.1103/PhysRevD.75.125018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179808
dc.subjectHigh Energy Physics - Theory
dc.titleSupersymmetric Vector Multiplets in Non-Adjoint Representations of SO(N)
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