Brane sigma models and solutions in M, M* and M' theories

Research Centre: Department of Mathematics

Title: Brane sigma models and solutions M, M* and M' theories

Abstract:

I discuss one and two-parameter solutions of sigma models on symmetric spaces contained in E11. Embedding one-parameter sigma model solutions in space-time give a metric which depends on harmonic functions typical in general relativity, supergravity and M-theory. Embedding two-parameter sigma model solutions in space-time give a metric which depends on general travelling wave functions in M* and M’-theory (theories which have space-time signatures with more than one time). Weyl reflection allows the latter solutions to be mapped to M-theory solutions where the wave functions depend explicitly on extra co-ordinates contained in the fundamental representation of E11. I will also give an example of two-time physics realisable in the laboratory