Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena

Understand

We study scalar and vector exchange terms in out-of-time-order correlators (OTOCs) holographically.

• By applying a computational method in graviton exchange, we analyze exponential behaviors in scalar and vector exchange terms at late times.
• We show that their exponential behaviors in simple holographic models are related to pole-skipping points obtained from the near-horizon equations of motion of scalar and vector fields.
• Our results are generalizations of the relation between the graviton exchange effect in OTOCs and the pole-skipping phenomena of the dual operator, to scalar and vector fields.