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Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry

Title
Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry
Authors
KIM, HEE CHEOLJeong, Jaehoon.Lee, SangminColgain, EoinYavartanoo, Hossein
POSTECH Authors
KIM, HEE CHEOL
Date Issued
Mar-2010
Publisher
SPRINGER
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 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.
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.
Keywords
AdS-CFT Correspondence; Chern-Simons Theories
URI
http://oasis.postech.ac.kr/handle/2014.oak/41160
DOI
10.1007/JHEP03(2010)034
ISSN
1126-6708
Article Type
Article
Citation
JOURNAL OF HIGH ENERGY PHYSICS, vol. 03, page. 034, 2010-03
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