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
- Klíčová slovaKeywords
- supersymmetry, Chern-Simons theory, projective superspace, tropical multiplet, superfields, non-Abelian gauge group
- DOIDOI
- 10.1093/ptep/ptu076
- Časopis / citaceJournal / citation
- Progress of Theoretical and Experimental Physics 2014(6), 63B04-0 (2014) · ISSN 2050-3911
- RokYear
- 2014
- JazykLanguage
- eng
- ZáznamyRecords
- 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
- CitovánoCited by
- 1 (INSPIRE-HEP)
- Plný text (open access)Full text (open access)
- https://academic.oup.com/ptep/article-pdf/2014/6/063B04/4451032/ptu076.pdf
- Citace ke staženíDownload citation
- TXT · BibTeX
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.