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EnglishBased on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and N=8 supersymmetry. The gauge theories are defined by a Lagrangian and are based on an infinite set of 3-algebras, constructed as an extension of ordinary Lie algebras. Recent no-go theorems on the existence of 3-algebras are circumvented by relaxing the assumption that the invariant metric is positive definite. The gauge group is non compact, and its maximally compact subgroup can be chosen to be any ordinary Lie group, under which the matter fields are adjoints or singlets. The theories are parity invariant and do not admit any tunable coupling constant. In the case of SU(N) the moduli space of vacua contains a branch of the form (R^8)^N/S_N. These properties are expected for the field theory living on a stack of M2 branes.
N=8 superconformal gauge theories and M2 branes / Benvenuti, Sergio; Rodriguez Gomez, D; Tonni, Erik; Verlinde, H.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2009:1(2009), pp. 1-14.
| Titolo: | N=8 superconformal gauge theories and M2 branes |
| Autori: | Benvenuti, Sergio; Rodriguez Gomez, D; Tonni, Erik; Verlinde, H. |
| Rivista: | |
| Data di pubblicazione: | 2009 |
| Volume: | 2009 |
| Fascicolo: | 1 |
| Pagina iniziale: | 1 |
| Pagina finale: | 14 |
| Numero di Articolo: | 078 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1126-6708/2009/01/078 |
| Fulltext via DOI: | https://doi.org/10.1088/1126-6708/2009/01/078 |
| Appare nelle tipologie: | 1.1 Journal article |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Sergio_Benvenuti_2009_J._High_Energy_Phys._2009_078.pdf | Versione Editoriale (PDF) | Non specificato | Open Access Visualizza/Apri |
http://hdl.handle.net/20.500.11767/32134
