The Two-Parameter Brane Sigma-Model and Extended Solutions of M-Theory

Abstract

We investigate two-parameter solutions of sigma-models on two dimensional symmetric spaces contained in E11. The sigma-models considered here are not proposed as fundamental two-dimensional quantum field theories, but as auxiliary, solution-generating constructions extending the one-parameter brane sigma-model framework. Embedding such sigma-model solutions in space-time gives classical bosonic solutions of M*- and M'-theory whose warp factors are travelling wavefunctions solving a transverse wave equation, rather than the harmonic functions appearing in the standard one-parameter brane solutions. Weyl reflection allows such solutions to be mapped to M-theory solutions where the wave functions depend explicitly on extra coordinates contained in the fundamental representation of E11.