Ingo Runkel (Hamburg):

Defects and the Landau-Ginzburg / CFT correspondence

Some N=2 superconformal field theories have two rather distinct descriptions. Namely 1) as the infrared fixed point of an N=2 Landau-Ginzburg model, and 2) directly in terms of conformal blocks for the N=2 superconformal algebra. The dominant mathematical notion in 1) is that of matrix factorisations, while in 2) - unsurprisingly - it is the representation theory of the N=2 superconformal algebra. Considering CFTs in the presence of defect lines in these two descriptions provides interesting and surprising relations. In this talk I will focus on "orbifold-equivalence" as an example of such a relation. This is joint work with Nils Carqueville and Ana Ros Camacho.
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