A. Santi

collaborators

3 papers

hep-th2026

Some rigidity results for supergravity backgrounds in 11 dimensions

Emanuele Di Bella, Willem A. de Graaf, Andrea Santi

This paper is a contribution to the supersymmetry gap problem for supergravity backgrounds $(M, g, F)$ in $11$ dimensions. We study restrictions on the curvature of $(M, g, F)$ and, us…

math.RT2025

Classification of nilpotent and semisimple fourvectors of a real eight-dimensional space

Emanuele Di Bella, Willem A. de Graaf, Andrea Santi

In 1981 Antonyan classified the orbits of SL $(8, C)$ on $⋀^{4} C^{8}$ . This is an example of a $θ$ -group action as introduced and studied by Vinberg. The orbit…

math.RT2025

Hyperplane arrangements and Vinberg's $θ$ -groups

Filippo Ambrosio, Andrea Santi

Let $g = ⨁_{i \in Z / m Z} g_{i}$ be a periodically graded semisimple complex Lie algebra. In this note, we give a uniform proof of the…

Some rigidity results for supergravity backgrounds in 11 dimensions

Classification of nilpotent and semisimple fourvectors of a real eight-dimensional space

Hyperplane arrangements and Vinberg's θ-groups

Hyperplane arrangements and Vinberg's $θ$ -groups