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Nonrelativistic hybrid geometries with gravitational gauge-fixing terms

Sinya Aoki1, Janos Balog2, Shuichi Yokoyama1, and Kentaroh Yoshida3

  • 1Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-Ku, Kyoto, Japan
  • 2Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, MTA Lendület Holographic QFT Group, 1525 Budapest 114, P.O. Box 49, Hungary
  • 3Department of Physics, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto, Japan

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Phys. Rev. Research 2, 013169 – Published 19 February, 2020

DOI: https://doi.org/10.1103/PhysRevResearch.2.013169

Abstract

We search a gravitational system that allows a nonrelativistic hybrid geometry interpolating the Schrödinger and Lifshitz spacetimes as a solution. As such a candidate an Einstein-Maxwell-Higgs system naturally arises and we verify that this system indeed supports the hybrid geometry with the help of a gauge-fixing term for diffeomorphism. As a result, this gravitational system may be interpreted as a holographic dual of a general nonrelativistic system at the boundary.

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Phys. Rev. Research 2, 013169– Published 19 February, 2020
  • Received 16 November 2019
  • Accepted 3 January 2020
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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