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We show that the Bagger-Lambert-Gustavsson (BLG) theory with two pairs ofnegative norm generators is derived from the scaling limit of an orbifoldedAharony-Bergman-Jafferis-Maldacena (ABJM) theory. The BLG theory with manyLorentzian pairs is known to be reduced to the Dp-brane theory via Higgsmechanism, so our scaling procedure can be used to derive Dp-branes directlyfrom M2-branes in the field theory language. In this paper, we focus on theD3-brane case and investigate the scaling limits of various quiver Chern-Simonstheories obtained from different orbifolding actions. Remarkably, in the caseof N=2 quiver CS theories, the resulting D3-brane action covers a larger regionin the parameter space of the complex structure moduli than the N=4 quiver CStheories. We also investigate how the SL(2,Z) duality transformation isrealized in the resultant D3-brane theory.

Quiver Chern-Simons Theories, D3-branes and Lorentzian Lie 3-algebras