Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/01/078
Keywords
Brane Dynamics in Gauge Theories; Conformal Field Models in String Theory; M-Theory
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Funding
- STFC [ST/G000743/1] Funding Source: UKRI
- Direct For Mathematical & Physical Scien
- Division Of Physics [756966] Funding Source: National Science Foundation
- Science and Technology Facilities Council [ST/G000743/1] Funding Source: researchfish
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Based 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. Interestingly, the theories are parity invariant and do not admit any tunable coupling constant.
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