Irreducible representations of E theory
arXiv:1905.07324 · doi:10.1142/S0217751X19501331
Abstract
We construct the E theory analogue of the particles that transform under the Poincare group, that is, the irreducible representations of the semi-direct product of the Cartan involution subalgebra of E11 with its vector representation. We show that one such irreducible representation has only the degrees of freedom of eleven dimensional supergravity. This representation is most easily discussed in the light cone formalism and we show that the duality relations found in E theory take a particularly simple form in this formalism. We explain that the mysterious symmetries found recently in the light cone formulation of maximal supergravity theories are part of E11. We also argue that our familiar spacetimes have to be extended by additional coordinates when considering extended objects such as branes.
arXiv comment35 pages, The M2 and M5 algebras corrected and some references added
References in corpus (18)
- E_11 and M Theory
- , SL(32) and Central Charges
- The IIA, IIB and eleven dimensional theories and their common E_{11} origin
- Dual fields and E_{11}
- E11 in 11D
- Brane dynamics, central charges and E_{11}
- Enhanced Coset Symmetries and Higher Derivative Corrections
- Goldstone Tensor Modes
- A brief review of E theory
- Generalised Space-time and Gauge Transformations
- Generalised BPS conditions
- E11, Romans theory and higher level duality relations
- E in supergravity in four dimensions
- On the different formulations of the E11 equations of motion
- E11, Brane Dynamics and Duality Symmetries
- An E11 invariant gauge fixing
- A hidden symmetry in quantum gravity
- A sketch of brane dynamics in seven and eight dimension using E theory