E 7(7) symmetry in perturbatively quantised $ \mathcal{N} = 8 $ supergravity

E 10 Symmetry in One - dimensional Supergravity

Shift Symmetry and Inflation in Supergravity

We consider models of inflation in supergravity with a shift symmetry. We focus on models with one moduli and one inflaton field. The presence of this symmetry guarantees the existence of a flat direction for the inflaton field. Mildly breaking the shift symmetry using a superpotential which depends not only on the moduli but also on the inflaton field allows one to lift the inflaton flat direc...

Higher spin N = 8 supergravity

The product of two N = 8 supersingletons yields an infinite tower of massless states of higher spin in four dimensional anti de Sitter space. All the states with spin s ≥ 1 correspond to generators of Vasiliev’s super higher spin algebra shsE(8|4) which contains the D = 4, N = 8 anti de Sitter superalgebra OSp(8|4). Gauging the higher spin algebra and introducing a matter multiplet in a quasi-a...

Iib Supergravity and E 10

We analyse the geodesic E 10 /K(E 10) σ-model in a level decomposition w.r.t. the A 8 × A 1 subalgebra of E 10 , adapted to the bosonic sector of type IIB supergravity, whose SL(2, R) symmetry is identified with the A 1 factor. The bosonic supergravity equations of motion, when restricted to zeroth and first order spatial gradients, are shown to match with the σ-model equations of motion up to ...

Quasiconformal Realizations of E 6 ( 6 ) , E 7 ( 7 ) , E 8 ( 8 ) and SO ( n + 3 , m + 3 ) , N > 4 Supergravity and Spherical Vectors

After reviewing the underlying algebraic structures we give a unified realization of split exceptional groups F4(4), E6(6), E7(7), E8(8) and of SO(n + 3,m + 3) as quasiconformal groups that is covariant with respect to their (Lorentz) subgroups SL(3,R), SL(3,R) × SL(3,R), SL(6,R), E6(6) and SO(n,m) × SO(1, 1), respectively. We determine the spherical vectors of quasiconformal realizations of al...