Open Access
2017 Branes on $G$-Manifolds
Andrés Viña
J. Geom. Symmetry Phys. 43: 47-71 (2017). DOI: 10.7546/jgsp-43-2017-47-71


Let $X$ be Calabi-Yau manifold acted by a group $G$. We give a definition of $G$-equivariance for branes on $X$, and assign to each equivariant brane an element of the equivariant cohomology of $X$ that can be considered as a charge of the brane. We prove that the spaces of strings stretching between equivariant branes support representations of $G$. This fact allows us to give formulas for the dimension of some of such spaces, when $X$ is a flag manifold of $G$.


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Andrés Viña. "Branes on $G$-Manifolds." J. Geom. Symmetry Phys. 43 47 - 71, 2017.


Published: 2017
First available in Project Euclid: 12 May 2017

zbMATH: 1370.57015
MathSciNet: MR3644814
Digital Object Identifier: 10.7546/jgsp-43-2017-47-71

Primary: 57S20
Secondary: 14F05 , 55N91

Keywords: $B$-branes , derived categories of sheaves , equivariant cohomology

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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