Membranes in AdS4 orientifold vacua and their Weak Gravity Conjecture
arXiv:2204.11892 · doi:10.1007/JHEP09(2022)034
Abstract
We study type IIA orientifold compactifications with fluxes that give rise to perturbatively stable, non-supersymmetric AdS vacua with D6-brane gauge sectors. Non-perturbative instabilities can be mediated by D8-branes wrapped on the six internal dimensions , if they reduce to 4d membranes with a charge larger than its tension . The mismatch arises due to i) curvature corrections and ii) the BIon backreaction of D6-branes wrapping 3-cycles of . We give a simple expression for the second effect in toroidal orientifolds, and find that only pairs of 3-cycles at SU(2) angles contribute to it. They either contribute towards or depending on the 3-cycles separation, allowing to engineer 4d vacua in tension with the Weak Gravity Conjecture for membranes.
v2: Minor corrections; v1: 43 pages + appendix, 5 figures
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