Weyl corrections to diffusion and chaos in holography

Abstract

Using holographic methods in the Einstein-Maxwell-dilaton-axion (EMDA) theory, it was conjectured that the thermal diffusion in a strongly coupled metal without quasi-particles saturates an universal lower bound that is associated with the chaotic property of the system at infrared (IR) fixed points~\cite{blake:1705}. In this paper, we investigate the thermal transport and quantum chaos in the EMDA theory with a small Weyl coupling term. It is found that the Weyl coupling correct the thermal diffusion constant $D_Q$ and butterfly velocity $v_B$ in different ways, hence resulting a modified relation between the two at IR fixed points. Unlike that in the EMDA case, our results show that the ratio $D_Q/(v_B^2{\tau }_L)$ always contains a {\it non-universal} Weyl correction which depends on the matter fields as long as the $U(1)$ current is relevant in the IR.

29 pages, typos corrected, references added, appendix B2 added, published version

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• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Thermal Diffusion and Quantum Chaos in Neutral Magnetized Plasma
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
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• Upper bound of the charge diffusion constant in holography
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• Holographic transports from Born-Infeld electrodynamics with momentum dissipation
• Holographic fermionic spectrum with Weyl correction
• Higher-spin localized shocks
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder