D-branes at Singularities, Compactification, and Hypercharge

Buican, Matthew; Malyshev, Dmitry; Morrison, David R.; Wijnholt, Martijn; Verlinde, Herman

doi:10.1088/1126-6708/2007/01/107

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D-branes at Singularities, Compactification, and Hypercharge

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Wijnholt, Martijn
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Buican, M., Malyshev, D., Morrison, D. R., Wijnholt, M., & Verlinde, H. (2007). D-branes at Singularities, Compactification, and Hypercharge. Journal of High Energy Physics, 2007(1): 107. doi:10.1088/1126-6708/2007/01/107.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-48CB-5

Abstract

We report on progress towards the construction of SM-like gauge theories on the world-volume of D-branes at a Calabi-Yau singularity. In particular, we work out the topological conditions on the embedding of the singularity inside a compact CY threefold, that select hypercharge as the only light U(1) gauge factor. We apply this insight to the proposed open string realization of the SM of hep-th/0508089, based on a D3-brane at a dP₈ singularity, and present a geometric construction of a compact Calabi-Yau threefold with all the required topological properties. We comment on the relevance of D-instantons to the breaking of global U(1) symmetries.