On 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory

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dc.creatorAntonyan, E.
dc.creatorTseytlin, A. A.
dc.date2008-11-10
dc.date2009-01-22
dc.date.accessioned2026-07-07T12:44:01Z
dc.date.available2026-07-07T12:44:01Z
dc.descriptionWe elaborate on the suggestion made in arXiv:0806.3498 that the 3d \N=8 superconformal SU(N) Chern-Simons-matter theory of Lorentzian Bagger-Lambert-Gustavson type (L-BLG) can be obtained by a scaling limit (involving sending the level k to infinity and redefining the fields) from the \N=6 superconformal U(N)xU(N) Chern-Simons-matter theory of Aharony, Bergman, Jafferis and Maldacena (ABJM). We show that to implement such a limit in a consistent way one is to extend the ABJM theory by an abelian "ghost" multiplet. The corresponding limit at the 3-algebra level also requires extending the non-antisymmetric Bagger-Lambert 3-algebra underlying the ABJM theory by a negative-norm generator. We draw analogy with similar scaling limits discussed previously for bosonic Chern-Simons theory and comment on some implications of this relation between the ABJM and L-BLG theories.
dc.description16 pages; published version - reference added, minor corrections
dc.identifierhttps://arxiv.org/abs/0811.1540
dc.identifierhttp://arxiv.org/abs/0811.1540
dc.identifierPhys.Rev.D79:046002,2009
dc.identifierdoi:10.1103/PhysRevD.79.046002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220623
dc.subjectHigh Energy Physics - Theory
dc.titleOn 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory
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