Holographic Butterfly Velocities in Brane Geometry and Einstein-Gauss-Bonnet Gravity with Matters

Understand

In the first part of the paper we generalize the butterfly velocity formula to anisotropic spacetime.

• We apply the formula to evaluate the butterfly velocities in M-branes, D-branes and strings backgrounds.
• We show that the butterfly velocities in M2-branes, M5-branes and the intersection M2$\bot$M5 equal to those in fundamental strings, D4-branes and the intersection F1$\bot$D4 backgrounds, respectively.
• These observations lead us to conjecture that the butterfly velocity is generally invariant under a double-dimensional reduction.