An N =2 Supersymmetric Membrane Flow

By R. Corrado, K. Pilch, N. Warner. 2001

141 citations recorded by the source corpus.

Abstract We find M-theory solutions that are holographic duals of flows of the maximally supersymmetric ( N =8 ) scalar-fermion theory in 2+1 dimensions. In particular, we construct the M-theory solution dual to a flow in which a single chiral multiplet is given a mass, and the theory goes to a new infra-red fixed point. We also examine this new solution using M2-brane probes. The (2+1)-dimensional field theory fixed-point is closely related to that of Leigh and Strassler, while the M-theory solution is closely related to the corresponding IIB flow solution. We recast the IIB flow solution in a more geometric manner and use this to obtain an ansatz for the M-theory flow. We are able to generalize our solution further to obtain flows with del Pezzo submanifolds, and we give an explicit solution with a conifold singularity.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ca6fb1a587336d3160093a91ff60074d93b6cc7c

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Citations in the corpus

Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere (2011, methodology): “Such a generalization of the holographic RG flow [44] should be dual to the flow induced by the superpotential perturbation tr(X3) 2 in all the gauge theories dual to CY3 × C.”