Non-relativistic String and D-branes on AdS_5 x S^5 from Semiclassical Approximation

TL;DR

This paper demonstrates that non-relativistic string and D-brane actions on AdS_5 x S^5 can be derived as semiclassical approximations around specific BPS configurations, offering new insights beyond the Penrose limit.

Contribution

It introduces a semiclassical approach to obtain non-relativistic string and D-brane actions on AdS_5 x S^5, contrasting with the traditional Penrose limit method.

Findings

Non-relativistic actions are reproduced via semiclassical approximation.

The pp-wave string is recovered around a 1/2 BPS rotating particle.

Deformations of Wilson lines relate to semiclassical states of non-relativistic strings.

Abstract

We show that non-relativistic actions of string and D-branes on AdS_5 x S^5 can be reproduced as a semiclassical approximation of the string and D-brane actions around static 1/2 BPS configurations. This is contrastive to the Penrose limit. For example, the pp-wave string can be recaptured as a semiclassical approximation around a 1/2 BPS particle rotating at the velocity of light. We argue that small deformation of a straight Wilson line would give a composite operator in the gauge-theory side that corresponds to a semiclassical state of the non-relativistic string, according to the semiclassical interpretation.