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Schrödinger invariant solutions of M-theory with enhanced supersymmetry

2009/11/30 by Jaehoon Jeong, Hee-Cheol Kim, Sangmin Lee +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1007/jhep03(2010)034

published as JHEP 1003:034,2010 · 37 pages; v2. references added, minor improvements

arxiv created 2009/12/13 · openalex publication_date 2010/03/01 · arxiv updated 2010/04/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 Z2 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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