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  • Letter
  • Open Access

Non-Lorentzian chaos and cosmological holography

Arjun Bagchi1,*, Shankhadeep Chakrabortty2,†, Daniel Grumiller3,‡, Bharathkumar Radhakrishnan4,5,§, Max Riegler6,∥, and Aditya Sinha7,¶

  • 1Indian Institute of Technology, Kanpur 208016, India
  • 2Indian Institute of Technology, Rupnagar, Punjab 140001, India
  • 3Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8–10/136, A-1040 Vienna, Austria
  • 4Indian Institute of Science Education and Research, Mohali, Punjab 140306, India
  • 5International Centre for Theoretical Sciences, Bangalore, Karnataka 560089, India
  • 6Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA
  • 7Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA

  • *abagchi@iitk.ac.in
  • †s.chakrabortty@iitrpr.ac.in
  • ‡grumil@hep.itp.tuwien.ac.at
  • §r.bharathkumar@outlook.com
  • ∥mriegler@fas.harvard.edu
  • asinha5@andrew.cmu.edu
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Phys. Rev. D 104, L101901 – Published 11 November, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L101901

Abstract

We study chaos in non-Lorentzian field theories, specifically Galilean and Carrollian conformal field theories in two dimensions. In a large central charge limit, we find that the Lyapunov exponent saturates the bound on chaos, conjectured originally for relativistic field theories. We recover the same Lyapunov exponent holographically by a shock-wave calculation in three-dimensional flat space cosmologies, providing further evidence for flat space holography.

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References (63)

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Outline

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Phys. Rev. D 104, L101901– Published 11 November, 2021
  • Received 24 June 2021
  • Accepted 8 October 2021
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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. Funded by SCOAP3.

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