Supersymmetric non-relativistic geometries in M-theory

Creators: Ooguri, Hirosi; Park, Chang-Soon

Abstract

We construct M-theory supergravity solutions with the non-relativistic Schrödinger 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 Schrödinger geometry with SU(2)×SU(2)×U(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.

Additional Information

© 2009 Elsevier B.V. Received 8 June 2009; revised 4 August 2009; accepted 31 August 2009. Available online 4 September 2009. This article is registered under preprint number 0905.1954. We would like to thank Jaewon Song and Masahiko Yamazaki for their participation in an earlier stage of this project and for discussion. We are grateful to Yu Nakayama for helpful discussion. This work is supported in part by DOE grant DE-FG03-92-ER40701. The work of H.O. is also supported in part by a Grant-in-Aid for Scientific Research (C) 20540256 from the Japan Society for the Promotion of Science, by the World Premier International Research Center Initiative of MEXT of Japan, and by the Kavli Foundation. C.P. is supported in part by Samsung Scholarship.

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