Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
arxiv(2024)
摘要
We perform a detailed study of (supersymmetric) moduli stabilisation in type
IIB toroidal orientifolds with fluxes. We provide strong evidence towards the
finiteness of the number of inequivalent vacua for a given total 3-form flux
charge N_ flux. We also find that the minimal value of the string
coupling g_s is given in terms of N_ flux and present strong evidence
for the asymptotic relation g_s, min∼ c/N_ flux^α, with
α=1,2, valid for not too small N_ flux, where c is an order 1
coefficient and α depends on the orbifold. Imposing tadpole
cancellation, N_ flux is bounded from the number of orientifold
O3-planes. Combined with the flux quantisation, this reduces considerably the
allowed vacua while the lower bound of the string coupling is then not far from
unity. On the other hand, the presence of negative D3-brane charge induced by
magnetised D7-branes breaks supersymmetry and relaxes the bound, allowing
significantly smaller values for g_s.
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