A bstract The Carroll algebra is constructed as the c→ 0 limit of the Poincare algebra and is
associated to symmetries on generic null surfaces. In this paper, we begin investigations of
Carrollian fermions or fermions defined on generic null surfaces. Due to the availability of
two different (degenerate) metrics on Carroll spacetimes, there is the possibility of two
different versions of Carroll Clifford algebras. We consider both possibilities and construct
explicit representations of Carrollian gamma matrices and show how to build higher …

The Carroll algebra is constructed as the c→ 0 limit of the Poincare algebra and is
associated to symmetries on generic null surfaces. In this paper, we begin investigations of
Carrollian fermions or fermions defined on generic null surfaces. Due to the availability of
two different (degenerate) metrics on Carroll spacetimes, there is the possibility of two
different versions of Carroll Clifford algebras. We consider both possibilities and construct
explicit representations of Carrollian gamma matrices and show how to build higher …