A vanishing theorem for T-branes

Fernando Marchesano, Ruxandra Moraru, Raffaele Savelli

We consider regular polystable Higgs pairs $(E,\varphi )$ on compact complex manifolds. We show that a non-trivial Higgs field $\varphi \in H^0(\mathrm{End}(E)\otimes K_S)$ restricts the Ricci…