Gepner type stability conditions on graded matrix factorizations
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2013
- DOI:
- 10.48550/arXiv.1302.6293
- arXiv:
- arXiv:1302.6293
- Bibcode:
- 2013arXiv1302.6293T
- Keywords:
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- Mathematics - Algebraic Geometry;
- High Energy Physics - Theory;
- 14F05
- E-Print:
- 64 pages