Can I read Gepner Type Stability Conditions on Graded Matrix Factorizations on EtoBox?

Gepner Type Stability Conditions on Graded Matrix Factorizations by Toda, Yukinobu is a scholarly article available to read on EtoBox.

What is Gepner Type Stability Conditions on Graded Matrix Factorizations about?

We introduce the notion of Gepner type Bridgeland stability conditions on triangulated categories, which depends on a choice of an autoequivalence and a complex number. We conjecture the existence of Gepner type stability conditions on the triangulated categories of graded matrix factorizations of weighted homogeneous polynomials. Such a stability condition may give a natural stability condition for Landau-Ginzburg B-branes, and correspond to the Gepner point of the stringy Kahler moduli space of a quintic 3-fold. The main result is to show our conjecture when the variety defined by the weighted homogeneous polynomial is a complete intersection of hyperplanes in a Calabi-Yau manifold with dimension less than or equal to two.

Author

Toda, Yukinobu

Published

2013

Language

EN