3d N=8 Lorentzian Bagger-Lambert-Gustavsson theory as a scaling limit of 3d superconformal N=6 Aharony-Bergman-Jafferis-Maldacena theory

Journal Article · Sun Feb 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.046002· OSTI ID:21266338

Antonyan, E; Tseytlin, A A ^[1]

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1. Theoretical Physics Group, The Blackett Laboratory, Imperial College, London SW7 2AZ (United Kingdom)

We 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 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 nonantisymmetric 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.

• OSTI ID: 21266338
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LORENTZ INVARIANCE
QUANTUM FIELD THEORY
SCALING
SIMULATION
SU GROUPS
U GROUPS