On the Landau-Ginzburg/conformal field theory correspondence

Ana Ros Camacho (Cardiff University, UK)

06-May-2021, 11:00-12:00 (3 years ago)

Abstract: The Landau-Ginzburg/conformal field theory (LG/CFT) correspondence is a result from the theoretical physics literature dating back to the late 80s-early 90s, which in particular predicts a certain relation between categories of matrix factorizations and categories of representations of vertex operator algebras. Currently we lack a precise mathematical statement for this physics result, but fortunately we have some examples available that we will review during this talk, as well as some current work in progress towards more. This is joint work with I. Runkel, A. Davydov et al.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides | video )


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