Nonrelativistic expansion of M2 branes and M theory backgrounds

Abstract

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

v2, To Appear in JHEP

References in corpus (12)

• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Torsional string Newton-Cartan geometry for non-relativistic strings
• A Non-Relativistic Limit of NS-NS Gravity
• A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry
• Dual D-Brane Actions in Nonrelativistic String Theory
• Nonrelativistic Open String and Yang-Mills Theory
• T-Duality in Nonrelativistic Open String Theory
• Probing tachyon kinks in Newton-Cartan background
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• Membrane solutions in M-theory
• KLT Factorization of Nonrelativistic String Amplitudes
• M2-brane Solutions in AdS_7xS^4

Cited by in corpus (3)

• Anisotropic Compactification of Nonrelativistic M-Theory
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Nonrelativistic expansion of type IIA NS5 brane