2014/04/24 by Gabriella Martini, Martini, Gabriella, Washington Taylor +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.1404.6300
openalex publication_date 2014/04/24 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
We carry out a systematic study of a class of 6D F-theory models and\nassociated Calabi-Yau threefolds that are constructed using base surfaces with\na generalization of toric structure. In particular, we determine all smooth\nsurfaces with a structure invariant under a single C^* action (sometimes called\n"T-varieties" in the mathematical literature) that can act as bases for an\nelliptic fibration with section of a Calabi-Yau threefold. We identify 162,404\ndistinct bases, which include as a subset the previously studied set of\nstrictly toric bases. Calabi-Yau threefolds constructed in this fashion include\nexamples with previously unknown Hodge numbers. There are also bases over which\nthe generic elliptic fibration has a Mordell-Weil group of sections with\nnonzero rank, corresponding to non-Higgsable U(1) factors in the 6D\nsupergravity model; this type of structure does not arise for generic elliptic\nfibrations in the purely toric context.\n