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Résumé |
Flux compactifications provide an opportunity to sharpen our understanding of
the properties of effective theories arising from string theory. Many of their
features are mathematically captured by Hodge theory, a field that has recently
seen a number of mathematical breakthroughs in connection with tame geometry. In
this talk, I suggest a novel perspective on the locus of flux vacua that will
allow us to revise some of the old claims about the number of such vacua, their
properties, and their geometric complexity. A key point will be to use the
dichotomy of the transcendentality of the arising scalar potentials and the
existence of symmetries. |
