Nonrelativistic expansion of M2 branes and M theory backgrounds

A bstract We initiate a systematic analysis of the nonrelativistic membrane solutions M theory using notion 11d Newton-Cartan (MNC) geometry as well considering 1 /c 2 expansion for embedding fields M2 brane world-volume theory. discuss associated boost and dilatation symmetries at leading order in expansion. show that, static gauge, when directions are stretched along longitudinal axes target space geometry, action becomes trivial. In other words, nontrivial dynamics appears to be only NLO beyond. our analysis, we focus on such embeddings obtain corresponding dispersion relation with