Variant N=1 supersymmetric non-Abelian Proca-Stueckelberg formalism in four dimensions

被引:11
|
作者
Nishino, Hitoshi [1 ]
Rajpoot, Subhash [1 ]
机构
[1] Calif State Univ Long Beach, Dept Phys & Astron, Long Beach, CA 90840 USA
关键词
N=1 supersymmetry; Proca-Stueckelberg formalism; Non-Abelian group; Four dimensions; Tensor multiplet; Non-Abelian tensors; NON-RENORMALIZABILITY; GAUGE;
D O I
10.1016/j.nuclphysb.2013.03.012
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We present a new (variant) formulation of N = 1 supersymmetric compensator mechanism for an arbitrary non-Abelian group in four dimensions. We call this 'variant supersymmetric non-Abelian Proca-Stueckelberg formalism'. Our field content is economical, consisting only of the two multiplets: (i) A non-Abelian vector multiplet (A(mu)(I), lambda(I), C-mu nu rho(I)) and (ii) a compensator tensor multiplet (B-mu nu(I), chi(I), phi(I)). The index I is for the adjoint representation of a non-Abelian gauge group. The C-mu nu rho(I) is originally an auxiliary field Hodge-dual to the conventional auxiliary field D-I. The phi(I) and B-mu nu(I) are compensator fields absorbed respectively into the longitudinal components of A(mu)(I) and C-mu nu rho(I) which become massive. After the absorption, C-mu nu rho(I) becomes no longer auxiliary, but starts propagating as a massive scalar field. We fix all non-trivial cubic interactions in the total Lagrangian, and quadratic interactions in all field equations. The superpartner fermion chi(I) acquires a Dirac mass shared with the gaugino lambda(I). As an independent confirmation, we give the superspace reformulation of the component results. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:213 / 227
页数:15
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