Non-Abelian Chern-Simons actions in three-dimensional projective superspaces
- NázevTitle
- Non-Abelian Chern-Simons actions in three-dimensional projective superspacesNon-Abelian Chern-Simons actions in three-dimensional projective superspaces
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- M. Arai, S. Sasaki
- DOIDOI
- 10.1093/ptep/ptu076
- Časopis / citaceJournal / citation
- Progress of Theoretical and Experimental Physics. 2014, 2014(6), ISSN 2050-3911.
- RokYear
- 2014
- JazykLanguage
- eng
- WoSWoS
- 000339428300015
- ScopusScopus
- 2-s2.0-84905046181
- RIVRIV
- RIV/68407700:21670/14:00218784!RIV15-MSM-21670___
- ProjektProject
- Mezinárodní experiment ATLAS-CERNInternational experiment ATLAS-CERN; Supersymetrie v teoriích pole a strun a ve fyzice za Standardním modelemSupersymmetry in field and string theories and in physics beyond the Standard Model; Fundamentální experimenty ve fyzice mikrosvětaFundamental Experiments in Physics of Microworld
AbstraktAbstract
We construct an action for the superconformal Chern-Simons theory with non-Abelian gauge groups in three-dimensional N=3 projective superspace. We propose a Lagrangian given by the product of the function of the tropical multiplet, which represents the N=3 vector multiplet, and the O(−1,1) multiplet. We show how the tropical multiplet is embedded into the O(−1,1) multiplet by comparing our Lagrangian with the Chern-Simons Lagrangian in the N=2 superspace. We also discuss N=4 generalization of the action.
We construct an action for the superconformal Chern-Simons theory with non-Abelian gauge groups in three-dimensional N=3 projective superspace. We propose a Lagrangian given by the product of the function of the tropical multiplet, which represents the N=3 vector multiplet, and the O(−1,1) multiplet. We show how the tropical multiplet is embedded into the O(−1,1) multiplet by comparing our Lagrangian with the Chern-Simons Lagrangian in the N=2 superspace. We also discuss N=4 generalization of the action.