Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories

Journal Article · Sat Nov 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.105011· OSTI ID:21250942

Honma, Yoshinori; Iso, Satoshi; Sumitomo, Yoske; Zhang, Sen ^[1]

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1. Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK) and Department of Particles and Nuclear Physics, Graduate University for Advanced Studies (SOKENDAI), Oho 1-1, Tsukuba, Ibaraki 305-0801 (Japan)

We show that the N=8 superconformal Bagger-Lambert theory based on the Lorentzian 3-algebra can be derived by taking a certain scaling limit of the recently proposed N=6 superconformal U(N)xU(N) Chern-Simons-matter theories at level (k,-k). The scaling limit (and Inoenue-Wigner contraction) is to scale the trace part of the bifundamental fields as X{sub 0}{yields}{lambda}{sup -1}X{sub 0} and an axial combination of the two gauge fields as B{sub {mu}}{yields}{lambda}B{sub {mu}}. Simultaneously, we scale the level as k{yields}{lambda}{sup -1}k and then take {lambda}{yields}0 limit. Interestingly, the same constraint equation {partial_derivative}{sup 2}X{sub 0}=0 is derived by imposing finiteness of the action. In this scaling limit, M2 branes are located far from the origin of C{sup 4}/Z{sub k} compared to their fluctuations and Z{sub k} identification becomes a circle identification. Hence, the scaled theory describes N=8 supersymmetric theory of 2-branes with dynamical coupling. The coupling constant is promoted to a space-time dependent SO(8) vector X{sub 0}{sup I} and we show that the scaled theory has a generalized conformal symmetry as well as manifest SO(8) with the transformation of the background fields X{sub 0}{sup I}.

• OSTI ID: 21250942
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
CONTRACTION
COUPLING
COUPLING CONSTANTS
EQUATIONS
FLUCTUATIONS
SCALING
SO-8 GROUPS
SPACE-TIME
SUPERSYMMETRY
SYMMETRY
TRANSFORMATIONS
U GROUPS
UNIFIED GAUGE MODELS