F-theory on singular spaces

Understand

We propose a framework for treating F-theory directly, without resolving or deforming its singularities.

• This allows us to explore new sectors of gauge theories, including exotic bound states such as T-branes, in a global context.
• We use the mathematical framework known as Eisenbud's matrix factorizations for hypersurface singularities.
• We display the usefulness of this technique by way of examples, including affine singularities of both conifold and orbifold type, as well as a class of full-fledged compact elliptically fibered Calabi-Yau fourfolds.