D-brane monodromies from a matrix-factorization perspective
Hans Jockers
TL;DR
This paper investigates how D-brane probes transform under monodromies in Kaehler moduli space using matrix factorizations, focusing on the cubic torus and quintic Calabi-Yau examples.
Contribution
It introduces a matrix-factorization approach to analyze D-brane monodromies in string compactifications' moduli space.
Findings
Monodromy actions are characterized via matrix factorizations.
Explicit examples for the cubic torus and quintic Calabi-Yau are provided.
The approach offers new insights into D-brane dynamics in moduli space.
Abstract
The aim of this work is to analyze Kaehler moduli space monodromies of string compactifications. This is achieved by investigating the monodromy action upon D-brane probes, which we model in the Landau-Ginzburg phase in terms of matrix factorizations. The two-dimensional cubic torus and the quintic Calabi-Yau hypersurface serve as our two prime examples.
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