Description
B-twisted N=(2,2) hybrid models represent a class of superconformal field theories of string theoretic relevance. They can be understood as a fibration of a Landau-Ginzburg model over a geometric base. The bulk theory of these hybrid models is relatively well understood, but much less is known about the boundary sector and the associated categories of D-branes. In this talk, I will introduce these hybrid models, as well as some of their key features. I will then present a formulation for the defining data of a hybrid B-brane, as well as a method for explicitly constructing such branes. This construction will be illustrated with several explicit examples. Finally, I will discuss the lifting of hybrid B-branes to the GLSM, and use the resulting construction to identify our example branes as analytic continuations of more familiar geometric B-branes.