One of the biggest problems in string compactifications is the large number of massless fields associated to deformations of the internal geometry. These “moduli” get masses from fluxes wrapping non-trivial cycles on the manifold. Fluxes have an associated charge, which on a compact manifold has to satisfy tadpole cancelation conditions. The tadpole conjecture proposes that the charge induced by the fluxes needed to stabilise a large number of moduli grows linearly with the number of moduli. In this talk I will explain the conjecture, present its motivation, supporting evidence and consequences.
Meeting ID: 692 9074 0393