Non_Abelian tensor multiplet in four dimensions

18th International Symposium on Particles Strings and Cosmology

Nishino, Hitoshi^1 ; Rajpoot, Subhash^1

Department of Physics and Astronomy, California State University, 1250 Bellflower Blvd., Long Beach, CA 90840, United States^1

关键词: Adjoint representation;    Chern-Simons term;    Field strengths;    Four dimensions;    Longitudinal components;    Non-abelian groups;    Non-trivial;    Standing problems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/485/1/012049/pdf
DOI  :  10.1088/1742-6596/485/1/012049

来源: IOP

【 摘 要 】

The long-standing problem with a non-Abelian tensor with non-trivial consistent couplings in four dimensions has been solved. The key technique is double-fold: (1) Adding extra Chern-Simons terms for the field strength of non-Abelian tensor, and (2) employing a compensator mechanism. We generalize this mechanism to supersymmetric system. Our system has three multiplets: (i) The usual non-Abelian vector multiplet (VM) (AIμ, λI), (ii) A non-Abelian tensor multiplet (TM) (BIμv, χI, ψI), and (iii) A compensator vector multiplet (CVM) (CIμ, ρI). The indices I, j, ... are for the adjoint representation of a non-Abelian group G. All of our fields are propagating with kinetic terms. The CIμ-field plays the role of a compensator absorbed into the longitudinal component of BIμv. We give both the component lagrangian and a corresponding superspace reformulation, reconfirming the total consistency of the system.