The tadpole conjecture in asymptotic limits

The tadpole conjecture suggests that the complete stabilization of complex structure deformations in Type IIB and F-theory flux compactifications is severely obstructed by bound on fluxes. More precisely, it states a large number moduli requires background with scales linearly stabilized fields. Restricting to asymptotic regions space, we give first conceptual argument explains this linear scaling setting clarifies why sets only for moduli. Our approach relies use Hodge theory. In particular, fact each regime an orthogonal sl(2)-block emerges allows us group fluxes into sl(2)-representations decouple directions. We show supported fluxes, representation fixes single modulus. Furthermore, find Calabi-Yau four-folds all but one can be identified representations occurring two-folds. This discuss explicitly establish relevant constraints tadpole.