D-branes from Matrix Factorizations
Kentaro Hori, Johannes Walcher
TL;DR
This paper reviews how B-type D-branes can be constructed from matrix factorizations of the superpotential, providing insights into Calabi-Yau compactifications through examples like the torus and quintic.
Contribution
It introduces a method to derive D-branes from matrix factorizations and applies it to specific Calabi-Yau examples, enhancing understanding of the superpotential.
Findings
Matrix factorizations successfully describe B-type D-branes.
Application to the torus and quintic demonstrates the method's effectiveness.
Insights into the grading and structure of D-branes in Calabi-Yau spaces.
Abstract
B-type D-branes can be obtained from matrix factorizations of the Landau-Ginzburg superpotential. We here review this promising approach to learning about the spacetime superpotential of Calabi-Yau compactifications. We discuss the grading of the D-branes, and present applications in two examples: the two-dimensional torus, and the quintic.
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