The string little algebra

Abstract

We consider the string, like point particles and branes, to be an irreducible representation of the semi-direct product of the Cartan involution invariant subalgebra of [Formula: see text] and its vector representation. We show that the subalgebra that preserves the string charges, the string little algebra, is essentially the Borel subalgebra of [Formula: see text]. We also show that the known string physical states carry a representation of parts of this algebra.