The two-parameter brane σ -model and extended solutions of M -theory

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Authors: Paul P. Cook, Sarben Sarkar
Cited by: 0
References: 30

Abstract

Abstract We investigate two-parameter solutions of σ -models on two dimensional symmetric spaces contained in E 11 . The σ -models considered here are not proposed as fundamental two-dimensional quantum field theories, but as auxiliary, solution-generating constructions extending the one-parameter brane σ -model framework. Embedding such σ -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 E 11 .

Fields of Study & Subjects

Nonlinear Waves and Solitons Algebraic structures and combinatorial models Black Holes and Theoretical Physics

Publication details

Journal / source
Physica Scripta
Publisher
IOP Publishing
Volume
101
Issue
25
Pages
255005–255005
Publication date
11 June 2026
Language
EN