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Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations

by Max Hubner, David R. Morrison, Sakura Schafer-Nameki, Yi-Nan Wang

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Submission summary

Authors (as registered SciPost users): Max Hubner · Yinan Wang
Submission information
Preprint Link: https://arxiv.org/abs/2203.10022v3  (pdf)
Date accepted: 2022-07-29
Date submitted: 2022-07-20 03:26
Submitted by: Hubner, Max
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explicit construction of relative 2-cycles in terms of Lefschetz thimbles. We apply the analysis to a variety of elliptic fibrations, including geometries where the discriminant of the elliptic fibration intersects the boundary. We provide a concrete realization of the 1-form symmetry group by constructing the associated charged line operator from the elliptic fibration. As an application we compute the symmetry topological field theories in the case of elliptic three-folds, which correspond to mixed anomalies in 5d and 6d theories.

List of changes

addressed referee comments

Published as SciPost Phys. 13, 030 (2022)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2022-7-20 (Invited Report)

Report

The authors made some minor improvements on the draft. The "readability" of the paper is still low. Nevertheless it could be published in this current form.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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