DESY/Hamburg U. String Theory Seminar

Varying Hodge structures, WZW models, and a finiteness theorem

by Thomas Grimm (Utrecht)

SR2 (bldg. 2a)

SR2 (bldg. 2a)


Insights from Hodge theory has long played an important role in the study of string compactifications and the search for string vacua. After a brief introduction to variations of Hodge structures, I will explain that the arising equations can also be obtained from a lambda-deformed, gauged WZW model. I will then describe how asymptotic Hodge theory allows to select special solutions to this model that solve intricate recursion relations and match sl(2) boundary conditions. The remarkable properties of these solutions are underlying the proof of a novel finiteness theorem for the number of self-dual flux vacua.