De Sitter vacua, Laplacian spectrum and effective theories on group manifolds

by Dr David Andriot (CERN)

Monday 25 Jun 2018, 14:00 → 15:30 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

In string compactifications, considering a compact manifold M that is not Ricci flat (e.g. most group manifolds) provides several interesting features for phenomenology. For instance, specific moduli can then be stabilized classically. Also, classical de Sitter solutions require a negative Ricci scalar for M.

In this talk, I will first present some work in progress, where I get new and tight constraints on classical de Sitter vacua with group manifolds.

In view of obtaining a string four-dimensional low energy effective theory on such manifolds, I will then present a recent work where we derived the spectrum of the Laplacian operator. This was done for a negatively curved group manifold, a nilmanifold. I will comment on an interesting low energy truncation of that spectrum. I will also discuss different points in field space that could be in tension with the swampland distance conjecture.