2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158999At half filling, the electronic structure of graphene can be modelled by a pair of free two-dimensional Dirac fermions. We explicitly demonstrate that in the presence of a geometrically induced gauge field, an everywhere-real Kekule modulation of the hopping matrix elements can correspond to a non-real Higgs field with non-trivial vorticity. This provides a natural setting for fractionally charged vortices with localized zero modes. For fullerene-like molecules we employ the index theorem to demonstrate the existence of six low-lying states that do not depend strongly on the Kekule-induced mass gap.4 pages, 3 figures, to appear in PRLMesoscale and Nanoscale PhysicsStrongly Correlated ElectronsHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryQuantum Physicstext