Flowing to higher dimensions: a new stronglycoupled phase on M2 branes
Abstract
We describe a oneparameter family of new holographic RG flows that start from AdS _{4} × S ^{7} and go to widehat{Ad{S}_5}× {B}6 , where {B}6 is conformal to a Kähler manifold and widehat{Ad{S}_5} is Poincaré AdS _{5} with one spatial direction compactified and fibered over {B}6 . The new solutions "flow up dimensions," going from the (2 + 1)dimensional conformal field theory on M2 branes in the UV to a (3 + 1)dimensional field theory on intersecting M5 branes in the infrared. The M2 branes completely polarize into M5 branes along the flow and the Poincaré sections of the widehat{Ad{S}_5} are the (3 + 1)dimensional common intersection of the M5 branes. The emergence of the extra dimension in the infrared suggests a new stronglycoupled phase of the M2 brane and ABJM theories in which charged solitons are becoming massless. The flow solution is first analyzed by finding a fourdimensional {N}=2 supersymmetric flow in {N}=8 gauged supergravity. This is then generalized to a one parameter family of nonsupersymmetric flows. The infrared limit of the solutions appears to be quite singular in four dimensions but the uplift to elevendimensional supergravity is remarkable and regular (up to orbifolding). Our construction is a nontrivial application of the recently derived uplift formulae for fluxes, going well beyond the earlier constructions of stationary points solutions. The elevendimensional supersymmetry is also analyzed and shows how, for the supersymmetric flow, the M2brane supersymmetry in the UV is polarized entirely into M5brane supersymmetry in the infrared.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2015
 DOI:
 10.1007/JHEP11(2015)170
 arXiv:
 arXiv:1506.01045
 Bibcode:
 2015JHEP...11..170P
 Keywords:

 AdSCFT Correspondence;
 Supersymmetry and Duality;
 Flux compactifications;
 Extended Supersymmetry;
 High Energy Physics  Theory
 EPrint:
 28 pages, 2 figures. Version 2 contains a discussion of new nonsupersymmetric flows