Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
- 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, Vol. 78, Issue 10; Other Information: DOI: 10.1103/PhysRevD.78.105011; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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