Dynamics of Carroll Strings

TL;DR

This paper develops the canonical action for Carroll strings, explores their symmetries forming an infinite-dimensional algebra, and discusses tensionless limits and Carroll p-branes, advancing understanding of ultra-relativistic string dynamics.

Contribution

It introduces the canonical Carroll string action, analyzes its symmetries, and extends the framework to tensionless limits and p-branes, providing new insights into Carrollian string theory.

Findings

Carroll string symmetries form an infinite-dimensional algebra

Canonical action for Carroll strings is constructed

Tensionless limit and Carroll p-brane actions are discussed

Abstract

We construct the canonical action of a Carroll string doing the Carroll limit of a canonical relativistic string. We also study the Killing symmetries of the Carroll string, which close under an infinite dimensional algebra. The tensionless limit and the Carroll $p$-brane action are also discussed.