Resolving the M2-brane
Abstract
We construct deformed, T2 wrapped, rotating M2-branes on a resolved cone over Q1,1,1 and Q1,1,1/Z2, as well as on a product of two Eguchi-Hanson instantons. All worldvolume directions of these supersymmetric and regular solutions are fibred over the transverse space. These constitute gravity duals of D=3, N=2 gauge theories. In particular, the deformed M2-brane on a resolved cone over Q1,1,1 and the S1 wrapped M2-brane on a resolved cone over Q1,1,1/Z2 provide explicit realizations of holographic renormalization group flows in M-theory for which both conformal and Lorentz symmetries are broken in the IR region and restored in the UV limit. These solutions can be dualized to supersymmetric type IIB pp-waves, which are rendered non-singular either by additional flux or a twisted time-like direction.
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