126 research outputs found

    N=1 Supersymmetric Non-Abelian Compensator Mechanism for Extra Vector Multiplet

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    We present a variant formulation of N=1 supersymmetric compensator mechanism for an arbitrary non-Abelian group in four dimensions. This formulation resembles our previous variant supersymmetric compensator mechanism in 4D. Our field content consists of the three multiplets: (i) A Non-Abelian Yang-Mills multiplet (A_\mu^I, \lambda^I, C_{\mu\nu\rho}^I), (ii) a tensor multiplet (B_{\mu\nu}^I, \chi^I, \varphi^I) and an extra vector multiplet (K_\mu^I, \rho^I, C_{\mu\nu\rho}^I) with the index I for the adjoint representation of a non-Abelian gauge group. The C_{\mu\nu\rho}^I is originally an auxiliary field dual to the conventional auxiliary field D^I for the extra vector multiplet. The vector K_\mu^I and the tensor C_{\mu\nu\rho}^I get massive, after absorbing respectively the scalar \varphi^I and the tensor B_{\mu\nu}^I. The superpartner fermion \rho^I acquires a Dirac mass shared with \chi^I. We fix all non-trivial cubic interactions in the total lagrangian, all quadratic terms in supersymmetry transformations, and all quadratic interactions in field equations. The action invariance and the super-covariance of all field equations are confirmed up to the corresponding orders.Comment: 11 pages, no figure

    Extended Jackiw-Pi Model and Its Supersymmetrization

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    We present an extended version of the so-called Jackiw-Pi (JP) model in three dimensions, and perform its supersymmetrization. Our field content has three multiplets: (i) Yang-Mills vector multiplet (AμI,λI)(A_\mu{}^I, \lambda^I), (ii) Parity-odd extra vector multiplet (BμI,χI)(B_\mu{}^I, \chi^I), and (iii) Scalar multiplet (CI,ρI,fI)(C^I, \rho^I, f^I). The bosonic fields in these multiplets are the same as the original JP-model, except for the auxiliary field  fI~f^I which is new, while the fermions λI,χI\lambda^I, \chi^I and ρI\rho^I are their super-partners. The basic difference from the original JP-model is the presence of the kinetic term for CIC^I with its modified field-strength HμIDμCI+mBμIH_\mu{}^I \equiv D_\mu C^I + m B_\mu{}^I. The inclusion of the CIC^I-kinetic term is to comply with the recently-developed tensor hierarchy formulation for supersymmetrization.Comment: 12 pages, 0 figur
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