Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499994 | Journal of Geometry and Physics | 2017 | 15 Pages |
Abstract
Using tools of complex geometry, we construct explicit proper Calabi-Yau structures, that is, non-degenerate cyclic cocycles on differential graded categories of matrix factorizations of regular functions with isolated critical points. The formulas involve the Kapustin-Li trace and its higher corrections. From the physics perspective, our result yields explicit 'off-shell' models for categories of topological D-branes in B-twisted Landau-Ginzburg models.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Dmytro Shklyarov,