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 [1]. 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 both of the thermal diffusion constant DQ and the butterfly velocity vB can get corrected in the presence of the Weyl coupling, hence resulting a modified relation between the two at IR fixed points. Unlike that in the EMDA case, our results show that the ratio DQ/(v 2 BτL) always contains a non-universal Weyl correction which depends on the matters as long as the U(1) current is relevant in the IR.