Novel possible symmetries of S-matrix generated by Z2n-graded Lie superalgebras

Abstract

In this paper, we explore $Z_2^n$-graded Lie (super)algebras as novel possible generators of symmetries of S-matrix. As a result, we demonstrate that a $Z_2^n$-graded extension of the supersymmetric algebra can be a symmetry of S-matrix. Furthermore, it turns out that $Z_2^n$-graded Lie algebras appear as internal symmetries. They are natural extensions of the Coleman-Mandula theorem, which is the no-go theorem for generators of symmetries of S-matrix, and the Haag-Łopuszański-Sohnius theorem, which extends the Coleman-Mandula theorem to include superalgebras.