E11, Brane Dynamics and Duality Symmetries
arXiv:1801.00669 · doi:10.1142/S0217751X1850080X
Abstract
Following hep-th/0412336 we use the non-linear realisation of the semi-direct product of E11 and its vector representation to construct brane dynamics. The brane moves through a spacetime which arises in the non-linear realisation from the vector representation and it contains the usual embedding coordinates as well as the world volume fields. The resulting equations of motion are first order in derivatives and can be thought of as duality relations. Each brane carries the full E11 symmetry and so the Cremmer-Julia duality symmetries. We apply this theory to find the dynamics of the IIA and IIB strings, the M2 and M5 branes, the IIB D3 brane as well as the one and two branes in seven dimensions.
41 pages
References in corpus (1)
Cited by in corpus (7)
- The Geometry, Branes and Applications of Exceptional Field Theory
- Weaving the Exotic Web
- Irreducible representations of E theory
- Higher spins from exotic dualisations
- The massless irreducible representation in E theory and how bosons can appear as spinors
- Spacetime and large local transformations
- A sketch of brane dynamics in seven and eight dimension using E theory