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\(N = 1\) supersymmetric Proca-Stueckelberg mechanism for extra vector multiplet. (English) Zbl 1325.81185

Summary: We present a variant formulation of \(N = 1\) supersymmetric Proca-Stueckelberg 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 \((A_\mu{}^I, \lambda^I)\), (ii) a tensor multiplet \((B_{\mu \nu}{}^I, \chi^I, \varphi^I)\) and (iii) 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 non-trivial quartic interactions in the total lagrangian, with corresponding cubic interaction terms in field equations.

MSC:

81V22 Unified quantum theories
81T60 Supersymmetric field theories in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory

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