E10 symmetry in one-dimensional supergravity

E 10 Symmetry in One - dimensional Supergravity

K(E10), Supergravity and Fermions

We study the fermionic extension of the E10/K(E10) coset model and its relation to eleven-dimensional supergravity. Finite-dimensional spinor representations of the compact subgroup K(E10) of E10(R) are studied and the supergravity equations are rewritten using the resulting algebraic variables. The canonical bosonic and fermionic constraints are also analysed in this way, and the compatibility...

Eleven dimensional supergravity and the E10/K(E10) σ-model at low A9 levels 1

Recently, the concept of a nonlinear σ-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal) 'maximal compact subgroup'. Here, we study in detail the one-dimensional (geodesic) σ-model with G = E 10 and H = K(E 10). We reexamine the construction of this σ-model and its relation to the bosonic sector of eleven-di...

E10 and gauged maximal supergravity

We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding tensor, which describes gauge deformations and also constitutes an M-theoretic degree of freedom beyond eleven-dimensional supergravity, arises naturally as an in...

Tunable Defect Mode in One-Dimensional Ternary Nanophotonic Crystal with Mirror Symmetry

In this paper, the properties of the defect mode in the photonic band gap ofone-dimensional ternary photonic crystals containing high temperature superconductorlayer (SPCs) have been theoretically investigated. We considered the quasi-periodiclayered structures by choosing two order of ternary Thue-Morse structures with mirrorsymmetry. We investigated the transmission spectra of these structure...