The Standard Model Quiver in de Sitter String Compactifications

Abstract

We argue that the Standard Model quiver can be embedded into compact Calabi-Yau geometries through orientifolded D3-branes at del Pezzo singularities ${\mathrm{dP}}_n$ with $n\ge 5$ in a framework including moduli stabilisation. To illustrate our approach, we explicitly construct a local ${\mathrm{dP}}_5$ model via a combination of Higgsing and orientifolding. This procedure reduces the original ${\mathrm{dP}}_5$ quiver gauge theory to the Left-Right symmetric model with three families of quarks and leptons as well as a Higgs sector to further break the symmetries to the Standard Model gauge group. We embed this local model in a globally consistent Calabi-Yau flux compactification with tadpole and Freed-Witten anomaly cancellations. The model features closed string moduli stabilisation with a de Sitter minimum from T-branes, supersymmetry broken by the Kähler moduli, and the MSSM as the low energy spectrum. We further discuss phenomenological and cosmological implications of this construction.

49 pages + appendices, 15 figures; typos corrected, references added