Generalised space-time and duality
arXiv:1006.0893 · doi:10.1016/j.physletb.2010.08.054
Abstract
In this paper we consider the previously proposed generalised space-time and investigate the structure of the field theory upon which it is based. In particular, we derive a SO(D,D) formulation of the bosonic string as a non-linear realisation at lowest levels of the semi-direct product of E11 with the first fundamental representation l1. We give a Hamiltonian formulation of this theory and carry out its quantisation. We argue that the choice of representation of the quantum theory breaks the manifest SO(D,D) symmetry but that the symmetry is manifest in a non-commutative field theory. We discuss the implications for the conjectured E11 symmetry and the role of the l1 representation.
17 pages, a few typographical errors corrected
References in corpus (1)
Cited by in corpus (19)
- Generalized Geometry and M theory
- SO(5,5) duality in M-theory and generalized geometry
- The local symmetries of M-theory and their formulation in generalised geometry
- Extended geometry and gauged maximal supergravity
- Boundary Terms in Generalized Geometry and doubled field theory
- E11, generalised space-time and IIA string theory
- U-duality extension of Drinfel'd double
- Generalised geometry, eleven dimensions and E11
- An O(D,D) Invariant Hamiltonian Action for the Superstring
- Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
- E11, generalised space-time and equations of motion in four dimensions
- Timelike U-dualities in Generalised Geometry
- Generalised Space-time and Gauge Transformations
- Exotic branes in Exceptional Field Theory: the SL(5) duality group
- E11 and exceptional field theory
- U-duality in three and four dimensions
- Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
- E11, Brane Dynamics and Duality Symmetries
- Higher derivative type II string effective actions, automorphic forms and E11