D-brane categories. (English) Zbl 1038.81054
Summary: This is an exposition of recent progress in the categorical approach to D-brane physics. The author discusses the physical underpinnings of the appearance of homotopy categories and triangulated categories of D-branes from a string field theoretic perspective, and with a focus on applications to homological mirror symmetry.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E30 | String and superstring theories in gravitational theory |
| 81-02 | Research exposition (monographs, survey articles) pertaining to quantum theory |
| 83-02 | Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory |
| 14J32 | Calabi-Yau manifolds (algebro-geometric aspects) |
| 14J81 | Relationships between surfaces, higher-dimensional varieties, and physics |
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