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

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...

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Veröffentlicht in:	Physical review. D, Particles and fields Particles and fields, 2009-02, Vol.79 (4), Article 046002
Hauptverfasser:	Antonyan, E., Tseytlin, A. A.
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Sprache:	eng
Schlagworte:	LORENTZ INVARIANCE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY SCALING SIMULATION SU GROUPS U GROUPS
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container_title	Physical review. D, Particles and fields
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creator	Antonyan, E. Tseytlin, A. A.
description	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.
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D, Particles and fields</jtitle><date>2009-02-01</date><risdate>2009</risdate><volume>79</volume><issue>4</issue><artnum>046002</artnum><issn>1550-7998</issn><issn>0556-2821</issn><eissn>1550-2368</eissn><eissn>1089-4918</eissn><abstract>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. 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title	3d N = 8 Lorentzian Bagger-Lambert-Gustavsson theory as a scaling limit of 3d superconformal N = 6 Aharony-Bergman-Jafferis-Maldacena theory
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