Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry

Details Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry

2009-11-27

arxiv.org/abs/0911.5281v2

JHEP 1003:034,2010

Physics

High Energy Physics

High Energy Physics - Theory

37 pages; v2. references added, minor improvements

Scientific paper

10.1007/JHEP03(2010)034

We find the most general solution of 11-dimensional supergravity compatible with N=2 super-Schrodinger symmetry with six supercharges and SU(2) x SU(2) x U(1) x Z_2 global symmetry. It can be viewed as a one-parameter extension of a recently constructed solution by Ooguri and Park. Our original motivation was to find the gravity dual of the non-relativistic ABJM theory. But, our analysis shows that no such solution exists within the reach of our assumptions. We discuss possible reasons for the non-existence of the desired solution. We also uplift a super-Schrodinger solution in IIB supergravity of Donos and Gauntlett to 11-dimension and comment on its properties.

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