Buratti, Ginevra (2018) Non perturbative instabilities of Anti-de Sitter solutions to M-theory. [Magistrali biennali]
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Ooguri and Vafa have recently conjectured that in a consistent theory of quantum gravity, all non supersymmetric Anti-de Sitter solutions supported by fluxes must be unstable. Whenever the solution is perturbatively stable, it is interesting to investigate possible non perturbative mechanisms leading to instabilities. A prototypical such mechanism is provided by Witten’s bubble of nothing, which demonstrates the instability of the Kaluza-Klein vacuum. The thesis aims at testing further the Ooguri-Vafa conjecture by studying generalizations of Witten's solution in the context of M-theory compactifications.
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