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Résumé |
I will discuss how exceptional field theory (ExFT), a formalism that unifies the metric and flux degrees of freedom of string theory using a generalised notion of geometry, can be used to study non-supersymmetric AdS vacua of string theory. I will review how ExFT allows us to efficiently construct non-supersymmetric string vacua by uplifting solutions of lower-dimensional gauged supergravities. Moreover, I will show how using ExFT we can, for the first time, compute the entire Kaluza-Klein spectrum around solutions with little to no remaining (super-)symmetries, completely inaccessible by standard methods. This allows us to determine the perturbative stability of non-supersymmetric vacua. I will show that a prominent SO(3) x SO(3) non-supersymmetric AdS_4 vacuum of M-theory has tachyonic Kaluza-Klein modes, while 7 non-supersymmetric AdS_4 vacua of IIA string theory as well as a 2-parameter moduli space of AdS_4 vacua of IIB string theory are perturbatively stable. I will briefly discuss other possible sources of instabilities and implications for the AdS/CFT correspondence. |
