Note on mirror symmetry and coisotropic D-branes on tori
Christian van Enckevort
TL;DR
This paper explores mirror symmetry on higher-dimensional tori, focusing on the behavior of D-branes, especially coisotropic D-branes, using methods like the Ooguri-Oz-Yin approach and Fourier-Mukai transform comparisons.
Contribution
It introduces a detailed analysis of coisotropic D-branes under mirror symmetry on tori, utilizing and comparing different mathematical frameworks.
Findings
Mirror symmetry on higher-dimensional tori is characterized for D-branes.
Coisotropic D-branes are effectively described using the Ooguri-Oz-Yin method.
Comparison with Fourier-Mukai transform provides insights into D-brane charge transformations.
Abstract
We describe mirror symmetry on higher dimensional tori, paying special attention to the behaviour of D-branes under mirror symmetry. To find the mirror D-branes the description of mirror symmetry on D-branes due to Ooguri, Oz en Yin is used. This method allows us to deal with the coisotropic D-branes recently introduced by Kapustin and Orlov. We compare this to the description of mirror symmetry on D-branes using the Fourier-Mukai transform of charges.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology