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The Tadpole Problem [Remote talk]
18 mai 2022 @ 16h00
I will discuss string theory compactifications where a large number of moduli is stabilized by fluxes. I will first present a conjecture which rules out the stabilization of all complex-structure moduli in F-theory at a generic point in moduli space by fluxes that satisfy the tadpole cancellation condition. Evidence for this conjecture comes from studying K3xK3 compactifications using evolutionary algorithms.
Subsequently, I will discuss obstructions on flux compactifications coming from AdS/CFT holography. Here, I will argue that it is not possible to obtain KKLT-like AdS vacua with very small cosmological constants by putting a bound on the central charge of the dual theory. These results have important consequences for the construction of de Sitter vacua in string theory.