TY - JOUR
T1 - N = 8 Superconformal gauge theories and M2 branes
AU - Benvenuti, Sergio
AU - Rodríguez-Gómez, Diego
AU - Tonni, Erik
AU - Verlinde, Herman
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
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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U2 - 10.1088/1126-6708/2009/01/078
DO - 10.1088/1126-6708/2009/01/078
M3 - Article
AN - SCOPUS:67649553266
VL - 2009
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 1
M1 - 078
ER -