N = 8 Superconformal gauge theories and M2 branes

Sergio Benvenuti; Diego Rodríguez-Gómez; Erik Tonni; Herman Verlinde

doi:10.1088/1126-6708/2009/01/078

N = 8 Superconformal gauge theories and M2 branes

Sergio Benvenuti, Diego Rodríguez-Gómez, Erik Tonni, Herman Verlinde

Physics

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

Abstract

Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and = 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. Interestingly, the theories are parity invariant and do not admit any tunable coupling constant.

Original language	English (US)
Article number	078
Journal	Journal of High Energy Physics
Volume	2009
Issue number	1
DOIs	https://doi.org/10.1088/1126-6708/2009/01/078
State	Published - 2009

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

Brane dynamics in gauge theories
Conformal field models in string theory
M-theory

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AU - Benvenuti, Sergio

AU - Rodríguez-Gómez, Diego

AU - Tonni, Erik

AU - Verlinde, Herman

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N2 - Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and = 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. Interestingly, the theories are parity invariant and do not admit any tunable coupling constant.

AB - Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and = 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. Interestingly, the theories are parity invariant and do not admit any tunable coupling constant.

KW - Brane dynamics in gauge theories

KW - Conformal field models in string theory

KW - M-theory

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N = 8 Superconformal gauge theories and M2 branes

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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