Ilarion Melnikov (AEI Potsdam)
After a brief review of (0,2) linear sigma models, I will discuss some work in progress on identifying pairs of "mirror" (0,2) linear sigma models. Concentrating on a simple (but large) class of theories obtained by deforming (2,2) sigma models for Calabi-Yau hypersurfaces in toric varieties, I will describe a subclass of theories where such a matching should be possible. I will then discuss subtleties in extending the matching to the full Batyrev-Borisov class of Calabi-Yau mirror pairs.
Arnold Sommerfeld Center