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

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dc.creatorHonma, Yoshinori
dc.creatorIso, Satoshi
dc.creatorSumitomo, Yoske
dc.creatorZhang, Sen
dc.date2008-06-23
dc.date2008-11-07
dc.date.accessioned2026-07-07T12:14:47Z
dc.date.available2026-07-07T12:14:47Z
dc.descriptionWe 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 Inonu-Wigner contraction) is to scale the trace part of the bifundamental fields as X_0 -> λ^{-1} X_0 and an axial combination of the two gauge fields as B_μ -> λB_μ. Simultaneously we scale the level as k -> λ^{-1} k and then take λ-> 0 limit. Interestingly the same constraint equation \partial^2 X_0=0 is derived by imposing finiteness of the action. In this scaling limit, M2-branes are located far from the origin of C^4/Z_k compared to their fluctuations and Z_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_0^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_0^I.
dc.description21 pages; v2 a subsection added to discuss Generalized Conformal Invariance; v3 discussions on gravity dual added; v4 published version in PRD
dc.identifierhttps://arxiv.org/abs/0806.3498
dc.identifierhttp://arxiv.org/abs/0806.3498
dc.identifierPhys.Rev.D78:105011,2008
dc.identifierdoi:10.1103/PhysRevD.78.105011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211313
dc.subjectHigh Energy Physics - Theory
dc.titleScaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
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