Plumbing the wormholes of string theory flux compactifications

Thus far, the known wormholes in string theory connecting disjoint boundaries represented by finite volume quotients of hyperbolic spaces leak: they are non-perturbatively unstable towards brane-anti-brane nucleation in the flux backgrounds that support these wormholes. Turning on additional fluxes suppressed this instability, but would not completely eliminate it. We present the first example of a non-perturbatively stable wormhole in type IIB supergravity on a warped squashed conifold with fluxes.