Nonrelativistic expansion of type IIA NS5 brane

TL;DR

This paper develops a nonrelativistic expansion method for type IIA NS5 branes, resulting in a finite world-volume action coupled to String Newton-Cartan background, advancing understanding of nonrelativistic brane dynamics.

Contribution

It introduces a novel nonrelativistic expansion framework for NS5 branes within type IIA supergravity, leading to a finite coupled world-volume action.

Findings

Derived a finite nonrelativistic NS5 brane action.

Coupled the brane to String Newton-Cartan background.

Provided a systematic expansion method for nonrelativistic branes.

Abstract

We carry out nonrelativistic expansion for NS5 brane based on a codimension two foliation of type IIA supergravity background. We simultaneously expand the world-volume fields in an appropriate $ 1/c^2 $ expansion together with the background fluxes. When put together, the resulting procedure yields a finite world-volume action for nonrelativistic NS5 brane that is coupled to String Newton-Cartan background.