Ingo Runkel (Hamburg):
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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.