Abelian F-theory models with charge-3 and charge-4 matter

Raghuram, Nikhil

doi:10.1007/jhep05(2018)050

Title: Abelian F-theory models with charge-3 and charge-4 matter

Journal Article · 08 May 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep05(2018)050 · OSTI ID:1499039

Raghuram, Nikhil ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics, Dept. of Physics; Massachusetts Inst. of Tech., Cambridge (United States)

This paper analyzes U(1) F-theory models admitting matter with charges q = 3 and 4. First, we systematically derive a q = 3 construction that generalizes the previous q = 3 examples. We argue that U(1) symmetries can be tuned through a procedure reminiscent of the SU(N) and Sp(N) tuning process. For models with q = 3 matter, the components of the generating section vanish to orders higher than 1 at the charge-3 matter loci. As a result, the Weierstrass models can contain non-UFD structure and thereby deviate from the standard Morrison-Park form. Techniques used to tune SU(N) models on singular divisors allow us to determine the non-UFD structures and derive the q = 3 tuning from scratch. Here, we also obtain a class of a q=4 models by deforming a prior U(1) × U(1) construction. To the author’s knowledge, this is the first published F-theory example with charge-4 matter. Finally, we discuss some conjectures regarding models with charges larger than 4.

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Research Organization:: Massachusetts Inst. of Technology, Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0012567

OSTI ID:: 1499039

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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