Global Stability of Spacetimes with Supersymmetric Compactifications
- Date: Wednesday 18 May 2022, 16:30 – 17:30
- Location: Roger Stevens LT 09 (8M.09)
- Type: Analysis, Seminars, Pure Mathematics
- Cost: Free
Dr Zoe Wyatt (Cambridge) will present her research in Analysis.
Spacetimes with compact directions which have special holonomy, such as Calabi-Yau spaces, play an important role in supergravity and string theory. In this talk I will discuss a recent work with Lars Andersson, Pieter Blue and Shing-Tung Yau, where we show the global, nonlinear stability of a spacetime which is a cartesian product of a high dimensional Minkowski space with a compact Ricci flat internal space with special holonomy. This stability result is related to a conjecture of Penrose concerning the validity of string theory. Our proof uses the intersection of methods for quasilinear wave and Klein-Gordon equations, and so towards the end of the talk I will also comment more generally on coupled wave–Klein-Gordon equations.