The Two-Parameter Brane Sigma-Model and Extended Solutions of M-Theory
arXiv:1610.00724 · doi:10.1088/1402-4896/ae7c3c
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.
49 pages, 2 figures, version accepted for publication in Physica Scripta (2026). DOI: 10.1088/1402-4896/ae7c3c
References in corpus (15)
- Double Field Theory
- Superspace Duality in Low-Energy Superstrings
- E10 and a "small tension expansion" of M Theory
- Exceptional Form of D=11 Supergravity
- Duality and the Signature of Space-Time
- Very-extended Kac-Moody algebras and their interpretation at low levels
- The IIA, IIB and eleven dimensional theories and their common E_{11} origin
- G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS Solutions
- Branes, Times and Dualities
- Representations of G+++ and the role of space-time
- Branes are Waves and Monopoles
- E_11: Sign of the times
- Non-geometric branes are DFT monopoles
- Exotic E11 branes as composite gravitational solutions
- Poincare Duality and G+++ algebra's