Carroll membranes

TL;DR

This paper investigates the Carroll limit of M2 and M3 branes in 11D supergravity, analyzing their Hamiltonian dynamics, solutions, and equivalences in various limits, including unstable branes and tachyon vacua.

Contribution

It introduces the membrane Carroll limit for M2 branes, explores solutions for specific embeddings, and analyzes the dynamics of unstable M3 branes in the Carroll limit.

Findings

Derived solutions for M2 branes in Carroll limit

Established equivalence of world-volume descriptions in Carroll limit

Analyzed Hamiltonian dynamics of unstable M3 branes

Abstract

We explore Carroll limit corresponding to M2 as well as M3 branes propagating over 11D supergravity backgrounds in M theory. In the first part of the analysis, we introduce the membrane Carroll limit associated to M2 branes propagating over M theory supergravity backgrounds. Considering two specific M2 brane embeddings, we further outline the solutions corresponding to the Hamilton's dynamical equations in the Carroll limit. We further consider the so called \textit{stringy} Carroll limit associated to M2 branes and outline the corresponding solutions to the underlying Hamilton's equations of motion by considering specific M2 brane embeddings over 11D target space geometry. As a further illustration of our analysis, considering the Nambu-Goto action, we show the equivalence between different world-volume descriptions in the Carroll limit of M2 branes. Finally, considering the \textit{stringy} Carroll limit, we explore the constraint structure as well as the Hamiltonian dynamics associated to unstable M3 branes in 11D supergravity and obtain the corresponding effective world-volume description around their respective tachyon vacua.