D-brane seminar: D-brane central charge and Landau-Ginzburg orbifolds

2020-06-24 16:00-18:00 Zoom conference

Time:16:00-18:00 (Beijing Time)  June 24 ,2020?
Title: D-brane central charge and Landau-Ginzburg orbifolds
Abstract:The D-brane central charge is a function on the the K-theory of a triangulated category and plays an essential role in Bridgeland stability. We are interested in the situation in which triangulated categories of different origin are related by a correspondence. The prominent example is Orlov's correspondence between a category of matrix factorizations coming from a Landau-Ginzburg orbifold and the derived category of coherent sheaves on the corresponding Calabi-Yau manifold. This situation has a nice description in physics in terms of the gauged linear sigma model. We propose a conjecture for an explicit formula for the D-brane central charge in the various regions of the Kaehler moduli space. We verify this conjecture for a large class of Landau-Ginzburg orbifolds.

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