Open Access
2019 Charge of D-Branes
Andrés Viña
J. Geom. Symmetry Phys. 51: 87-102 (2019). DOI: 10.7546/jgsp-51-2019-87-102


Considering the $D$-branes on a variety $Z$ as the objects of the derived category $D^b(Z)$, we propose a definition for the charge of $D$-branes on not necessarily smooth varieties. We define the charge $Q({\mathcal G})$ of ${\mathcal G}\in D^b(Z)$ as an element of the homology of $Z$, so that the mapping $Q$ is compatible with the pushforward by proper maps between varieties. Given a generic anticanonical hypersurface $Y$ of a toric variety $X$ defined by a reflexive polytope, we express the charge of a line bundle on $Y$ defined by a divisor $D$ of $X$ in terms of intersections of $D$ with cycles determined by the polytope faces.


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Andrés Viña. "Charge of D-Branes." J. Geom. Symmetry Phys. 51 87 - 102, 2019.


Published: 2019
First available in Project Euclid: 26 April 2019

zbMATH: 1429.81062
MathSciNet: MR3932494
Digital Object Identifier: 10.7546/jgsp-51-2019-87-102

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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