5 problems

Let $\Phi=(\phi^1,\dots,\phi^N)$ be fields in a low-energy effective field theory coupled to dynamical $D$-dimensional spacetime, with vacuum state $|\Omega\rangle$. Let…

Consider a one-parameter family of $D$-dimensional Anti-de Sitter metrics $g_{\mu\nu}(\Lambda)$ arising as quantum-gravity low-energy effective theories, labelled by their cosmolog…

Let $\Phi=(\phi^1,\dots,\phi^N)$ be scalar fields with potential $V(\Phi)$ in a low-energy effective field theory coupled to dynamical $D$-dimensional spacetime. Let $\nabla_i$ den…

Ricci flow conjecture. Any Ricci-flow fixed point at infinite distance should be accompanied by an infinite tower of additional fields with a flow-dependent mass threshold…

Let $c9$ be a tangential structure, and suppose a consistent $n$-dimensional theory of quantum gravity sums over spacetime backgrounds carrying a $c9$-structure. The associated bor…