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The fate of U(1)’s at strong coupling in F-theory
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  • Open Access
  • Published: 04 July 2014

The fate of U(1)’s at strong coupling in F-theory

  • Andreas P. Braun1,
  • Andrés Collinucci2 &
  • Roberto Valandro3,4 

Journal of High Energy Physics volume 2014, Article number: 28 (2014) Cite this article

  • 333 Accesses

  • 30 Citations

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A preprint version of the article is available at arXiv.

Abstract

U(1) gauge symmetries in F-theory are expected to manifest themselves as codimension three singularities of Calabi-Yau fourfolds. However, some of these are known to become massive at strong coupling via the Stückelberg mechanism. In this note, we propose a geometric picture for detecting all U(1)’s, and determining which ones are massive and which ones are massless. We find that massive gauge symmetries show up as codimension three singularities that only admit small, non-Kähler, resolutions. Our proposal passes several highly non-trivial tests, including a case with a non-diagonal mass matrix.

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Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. King’s College, Department of Mathematics, Strand, London, WC2R 2LS, U.K.

    Andreas P. Braun

  2. Physique Théorique et Mathématique, Université Libre de Bruxelles, C.P. 231, 1050, Bruxelles, Belgium

    Andrés Collinucci

  3. ICTP, Strada Costiera 11, Trieste, 34014, Italy

    Roberto Valandro

  4. INFN — Sezione di Trieste, Trieste, Italy

    Roberto Valandro

Authors
  1. Andreas P. Braun
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  2. Andrés Collinucci
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  3. Roberto Valandro
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Correspondence to Andreas P. Braun.

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ArXiv ePrint: 1402.4054

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Braun, A.P., Collinucci, A. & Valandro, R. The fate of U(1)’s at strong coupling in F-theory. J. High Energ. Phys. 2014, 28 (2014). https://doi.org/10.1007/JHEP07(2014)028

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  • Received: 11 April 2014

  • Accepted: 16 June 2014

  • Published: 04 July 2014

  • DOI: https://doi.org/10.1007/JHEP07(2014)028

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Keywords

  • F-Theory
  • D-branes
  • Differential and Algebraic Geometry
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