Abelian Ftheory models with charge3 and charge4 matter
This paper analyzes U(1) Ftheory 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 charge3 matter loci. As a result, the Weierstrass models can contain nonUFD structure and thereby deviate from the standard MorrisonPark form. Techniques used to tune SU( N) models on singular divisors allow us to determine the nonUFD 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 Ftheory example with charge4 matter. Finally, we discuss some conjectures regarding models with charges larger than 4.
 Authors:

^{[1]}
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics, Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 SC0012567
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FTheory; Superstring Vacua
 OSTI Identifier:
 1499039
Raghuram, Nikhil. Abelian Ftheory models with charge3 and charge4 matter. United States: N. p.,
Web. doi:10.1007/jhep05(2018)050.
Raghuram, Nikhil. Abelian Ftheory models with charge3 and charge4 matter. United States. doi:10.1007/jhep05(2018)050.
Raghuram, Nikhil. 2018.
"Abelian Ftheory models with charge3 and charge4 matter". United States.
doi:10.1007/jhep05(2018)050. https://www.osti.gov/servlets/purl/1499039.
@article{osti_1499039,
title = {Abelian Ftheory models with charge3 and charge4 matter},
author = {Raghuram, Nikhil},
abstractNote = {This paper analyzes U(1) Ftheory 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 charge3 matter loci. As a result, the Weierstrass models can contain nonUFD structure and thereby deviate from the standard MorrisonPark form. Techniques used to tune SU(N) models on singular divisors allow us to determine the nonUFD 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 Ftheory example with charge4 matter. Finally, we discuss some conjectures regarding models with charges larger than 4.},
doi = {10.1007/jhep05(2018)050},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}