AbstractIt would be useful to deal with complex geometry when examining quantum gravity as in the case of no-boundary proposal by Hartle and Hawking. However, there would be too many saddles for complexified gravity, and it is necessary to determine which are allowable geometries in the sense of Witten. We consider three-ddimensional gravity theory with positive consmological constant described...
AbstractMany instances have recently been found on the intriguing interplay between string landscape and algebraic geometry via the swampland program. In this talk, we will exemplify such an interplay. Specifically, by addressing universal properties of compact elliptic Calabi-Yau (d+1)-folds, we will test out some of the swampland conjectures for all possible effective QFT models of F-theory i...