Open Access
2018 Spanning Class in the Category of Branes
Andrés Viña
J. Geom. Symmetry Phys. 47: 85-104 (2018). DOI: 10.7546/jgsp-47-2018-85-104


Given a generic anticanonical hypersurface $Y$ of a toric variety determined by a reflexive polytope, we define a line bundle ${\mathcal L}$ on $Y$ that generates a spanning class in the bounded derivative category $D^b(Y)$. From this fact, we deduce properties of some spaces of strings related with the brane ${\mathcal L}$. We prove a vanishing theorem for the vertex operators associated to strings stretching from branes of the form ${\mathcal L}^{\otimes i}$ to nonzero objects in $D^b(Y)$. We also define a gauge field on ${\mathcal L}$ which minimizes the corresponding Yang-Mills functional.


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Andrés Viña. "Spanning Class in the Category of Branes." J. Geom. Symmetry Phys. 47 85 - 104, 2018.


Published: 2018
First available in Project Euclid: 10 May 2018

zbMATH: 1398.81195
MathSciNet: MR3822062
Digital Object Identifier: 10.7546/jgsp-47-2018-85-104

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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