How to construct deformations of the $(2)^4$ Gepner model on smooth $K3$ surfaces
Mon, Mar. 05th 2007, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
The $(2)^4$ Gepner model is an example of a superconformal field
theory (SCFT) on a smooth quartic $K3$ surface. This model is very well
understood, while in general it remains an open problem how to construct
SCFTs on smooth quartic $K3$ surfaces.
We present a construction of a smooth four parameter family of SCFTs on a
family of smooth quartic $K3$ surfaces. Although we do not obtain new SCFTs
per se, these theories are important because they yield deformations of
the Gepner model $(2)^4$ which are thus accessible to techniques that are
normally restricted to this latter model.