# Brill-Noether-general Limit Root Bundles: Absence of vector-like Exotics in F-theory Standard Models

@inproceedings{Bies2022BrillNoethergeneralLR, title={Brill-Noether-general Limit Root Bundles: Absence of vector-like Exotics in F-theory Standard Models}, author={Martin Bies and Mirjam Cvetivc and Ron Y. Donagi and Marielle Ong}, year={2022} }

Root bundles appear prominently in studies of vector-like spectra of 4d F-theory compactiﬁcations. Of particular importance to phenomenology are the Quadrillion F-theory Standard Models (F-theory QSMs). In this work, we identify O (10 11 ) F-theory QSM geometries without vector-like exotics in the representations ( 3 , 2 ) 1 / 6 , ( 3 , 1 ) − 2 / 3 and ( 1 , 1 ) 1 . The QSM geometries come in families of toric 3-folds B 3 (∆ ◦ ) obtained from triangulations of certain 3-dimensional polytopes…

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