On 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory
Nov, 2008
16 pages
Published in:
- Phys.Rev.D 79 (2009) 046002
e-Print:
- 0811.1540 [hep-th]
Report number:
- IMPERIAL-TP-EA-2008-1
View in:
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Abstract: (arXiv)
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 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.Note:
- 16 pages/ published version - reference added, minor corrections
- 11.25.Hf
- field theory: conformal
- scaling
- Chern-Simons term
- gauge field theory: U(N) x U(N)
- Bagger-Lambert-Gustavsson model
- supersymmetry: 6
- algebra
- ABJM model
- dimension: 3
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