Covariant action for M5 brane in nonrelativistic M-theory

TL;DR

This paper develops a covariant nonrelativistic world-volume action for a single M5 brane in 11-dimensional supergravity, expanding background fluxes and fields in a 1/c^2 series to achieve a well-defined coupled action.

Contribution

It introduces the first covariant nonrelativistic M5 brane action in a Membrane Newton-Cartan background with fluxes, expanding previous relativistic formulations.

Findings

Constructed a nonrelativistic covariant M5 brane action.

Expanded background fluxes and fields in 1/c^2 series.

Achieved a well-defined coupled world-volume action.

Abstract

We construct the nonrelativistic covariant world-volume action for a single M5 brane of $ D=11 $ supergravity in M-theory. The corresponding non-Lorentzian (NL) background possesses a codimension three foliation and is identified as the Membrane Newton-Cartan manifold in the presence of background fluxes that are suitably expanded in $ 1/c^2 $ expansion. We also expand the associated world-volume fields in $ 1/c^2 $ expansion. The above procedure eventually results into a well defined world-volume action that is coupled to Membrane Newton-Cartan background.