Abstract
We argue that the Standard Model quiver can be embedded into compact Calabi-Yau geometries through orientifolded D3-branes at del Pezzo singularities dPn with n ≥ 5 in a framework including moduli stabilisation. To illustrate our approach, we explicitly construct a local dP5 model via a combination of Higgsing and orientifolding. This procedure reduces the original dP5 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.
Highlights
The main argument for the study of string theory remains its potential to explain all natural phenomena, including gravity, within a consistent quantum framework
E-mail: michele.cicoli@unibo.it, inaki.garcia-etxebarria@durham.ac.uk, fq201@damtp.cam.ac.uk, as2673@maths.cam.ac.uk, pramodmaths@gmail.com, roberto.valandro@ts.infn.it Abstract: We argue that the Standard Model quiver can be embedded into compact Calabi-Yau geometries through orientifolded D3-branes at del Pezzo singularities dPn with n ≥ 5 in a framework including moduli stabilisation
The axio-dilaton and all complex structure moduli are fixed at a Minkowski minimum by solving DSWflux = DUαWflux = 0 which is ensured by positive semi-definiteness of VFflux
Summary
The main argument for the study of string theory remains its potential to explain all natural phenomena, including gravity, within a consistent quantum framework. In order to find a suitable local realisation of the Standard Model, we have been guided by the seminal work by Wijnholt [23], who provided two scenarios to obtaining the Standard Model quiver from a single D3-brane at a dP5 singularity Essential features of both of these two scenarios are the presence of appropriate orientifold involutions and intricate Higgsing operations. The local models studied in this paper will be of this form It should be noted at this point, though, that there remains a rich structure of largely unexplored but phenomenologically promising models from fractional D3-branes at orientifolded dPn singularities with n ≥ 5. In this paper we will go further than a purely local analysis, and provide a seemingly phenomenologically viable global embedding of the orientifolded quiver gauge theory, so that our gauge dynamics is coupled to gravity.
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