Abelian F-theory models with charge-3 and charge-4 matter
Abstract
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.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics, Dept. of Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1499039
- Grant/Contract Number:
- SC0012567
- Resource 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 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; F-Theory; Superstring Vacua
Citation Formats
Raghuram, Nikhil. Abelian F-theory models with charge-3 and charge-4 matter. United States: N. p., 2018.
Web. doi:10.1007/jhep05(2018)050.
Raghuram, Nikhil. Abelian F-theory models with charge-3 and charge-4 matter. United States. https://doi.org/10.1007/jhep05(2018)050
Raghuram, Nikhil. Tue .
"Abelian F-theory models with charge-3 and charge-4 matter". United States. https://doi.org/10.1007/jhep05(2018)050. https://www.osti.gov/servlets/purl/1499039.
@article{osti_1499039,
title = {Abelian F-theory models with charge-3 and charge-4 matter},
author = {Raghuram, Nikhil},
abstractNote = {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.},
doi = {10.1007/jhep05(2018)050},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {Tue May 08 00:00:00 EDT 2018},
month = {Tue May 08 00:00:00 EDT 2018}
}
Web of Science
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