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 E11 and its vector representation. We show that the subalgebra that preserves the string charges, the string little algebra, is essentially the Borel subalgebra of E9. We also show that the known string physical states carry a representation of parts of this algebra.

References in corpus (13)

• E_11 and M Theory
• $E_{11}$, SL(32) and Central Charges
• Representations of G+++ and the role of space-time
• E_{11} origin of Brane charges and U-duality multiplets
• E11, generalised space-time and IIA string theory
• E11 in 11D
• Charge multiplets and masses for E(11)
• E11 must be a symmetry of strings and branes
• Exotic E11 branes as composite gravitational solutions
• Generalised BPS conditions
• Irreducible representations of E theory
• Bound States of String Theory and Beyond
• The massless irreducible representation in E theory and how bosons can appear as spinors