Non-Lorentzian Chaos and Cosmological Holography
Arjun Bagchi, Shankhadeep Chakrabortty, Daniel Grumiller, Bharathkumar, Radhakrishnan, Max Riegler, Aditya Sinha
TL;DR
This paper investigates chaos in non-Lorentzian 2D conformal field theories, showing they exhibit maximal chaos similar to relativistic theories, and supports flat space holography through holographic calculations.
Contribution
It demonstrates that non-Lorentzian conformal field theories can saturate the chaos bound and provides holographic evidence via shock-wave calculations in flat space cosmologies.
Findings
Lyapunov exponent saturates chaos bound in non-Lorentzian theories
Holographic shock-wave calculations match field theory results
Supports flat space holography with maximal chaos evidence
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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