MS Seminar (Mathematics - String Theory)

Speaker: Konstantin Aleshkin (SISSA / ITP)
Title: Calabi-Yau moduli space metric for hypersurfaces in weighted projective spaces
Date: Thu, Dec 07, 2017, 15:30 - 17:00
Place: Seminar Room B
Abstract: It is well-known that certain correlators of massless fields in superstring theories compactified on a Calabi-Yau 3-fold can be computed using topological data on the CY (e.g. Yukawa couplings), and much progress has been made in the context of topological strings. However, to properly normalize the correlators above and to compute the others, one needs also to know the Weil-Peterson metric on the CY moduli space. For the case where the CY is given by a hypersurface in a weighted projective space there are only few explicit computations of this metric, and they involve complicated case by case analysis. In a series of recent papers together with Alexander Belavin we proposed a new effective method to compute the moduli space metric in the case of hypersurfaces in weighted projective spaces using a connection with the Frobenius algebra structure of the corresponding Landau-Ginzburg model. In the talk I plan to explain this method and illustrate its efficiency with examples, in particular for all 101 moduli of the quintic threefold.