Scrambling with conservation laws

A bstract In this article we discuss the impact of conservation laws, specifically U(1) charge and energy conservation, on scrambling dynamics, especially approach to late time fully scrambled state. As a model, consider d + 1 dimensional ( ≥ 2) holographic conformal field theory with Einstein gravity dual. Using dictionary, calculate out-of-time-order-correlators (OTOCs) that involve conserved current operator or energy-momentum tensor. We show these OTOCs their value as power law in time, universal exponent $$ \frac{d}{2} d 2 . also generalize result compute between general operators which have overlap charges.