Speaker
Description
We show that two basic properties of Galilei symmetries can be extended, against common belief, to Carroll symmetries when properly interpreted. The first property is the fact that one can take critical Galilei limits using the fact that the Galilei algebra can be centrally extended to a Bargmann algebra. We demonstrate that, although the Carroll algebra does not allow such a central extension, one can nevertheless formulate a critical Carroll limit provided one allows for Euclidean or spacelike branes. The second property of Galilei symmetries is the fact that one can obtain systems with Bargmann symmetry by performing a null reduction over a spatial dimension. We show that similarly critical Carroll systems can be obtained by performing a Carrollian version of the null reduction over a time direction.
We illustrate the different connections using particles