18th International Symposium on Particles Strings and Cosmology | |
Non_Abelian tensor multiplet in four dimensions | |
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 |
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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.
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