Supersymmetric non-relativistic geometries in M-theory

Details Supersymmetric non-relativistic geometries in M-theory Supersymmetric non-relativistic geometries in M-theory

2009-05-13

arxiv.org/abs/0905.1954v2

Nucl.Phys.B824:136-153,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 parges; v2: references added

Scientific paper

10.1016/j.nuclphysb.2009.08.021

We construct M-theory supergravity solutions with the non-relativistic Schrodinger symmetry starting from the warped AdS_5 metric with N=1 supersymmetry. We impose the condition that the lightlike direction is compact by making it a non-trivial U(1) bundle over the compact space. Sufficient conditions for such solutions are analyzed. The solutions have two supercharges for generic values of parameters, but the number of supercharges increases to six in some special cases. A Schrodinger geometry with SU(2)xSU(2)xU(1) isometry is considered as a specific example. We consider the Kaluza-Klein modes and show that the non-relativistic particle number is bounded above by the quantum numbers of the compact space.

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