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Enhanced gauge symmetry and winding modes in double field theory

  • G. Aldazabal
  • M. GrañaEmail author
  • S. Iguri
  • M. Mayo
  • C. Nuñez
  • J. A. Rosabal
Open Access
Regular Article - Theoretical Physics

Abstract

We provide an explicit example of how the string winding modes can be incorporated in double field theory. Our guiding case is the closed bosonic string compactified on a circle of radius close to the self-dual point, where some modes with non-zero winding or discrete momentum number become massless and enhance the U(1) × U(1) symmetry to SU(2) × SU(2). We compute three-point string scattering amplitudes of massless and slightly massive states, and extract the corresponding effective low energy gauge field theory. The enhanced gauge symmetry at the self-dual point and the Higgs-like mechanism arising when changing the compactification radius are examined in detail. The extra massless fields associated to the enhancement are incorporated into a generalized frame with \( \frac{O\left(d+3,d+3\right)}{O\left(d+3\right)\times O\left(d+3\right)} \) structure, where d is the number of non-compact dimensions. We devise a consistent double field theory action that reproduces the low energy string effective action with enhanced gauge symmetry. The construction requires a truly non-geometric frame which explicitly depends on both the compact coordinate along the circle and its dual.

Keywords

String Duality Bosonic Strings 

Notes

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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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • G. Aldazabal
    • 1
    • 2
  • M. Graña
    • 3
    Email author
  • S. Iguri
    • 4
  • M. Mayo
    • 1
    • 2
  • C. Nuñez
    • 4
    • 5
  • J. A. Rosabal
    • 5
  1. 1.Centro Atómico BarilocheS.C. de BarilocheArgentina
  2. 2.Instituto Balseiro (CNEA-UNC) and CONICETS.C. de BarilocheArgentina
  3. 3.Institut de Physique Théorique, CEA/SaclayGif-sur-Yvette CedexFrance
  4. 4.Instituto de Astronomía y Física del Espacio (CONICET-UBA)Universidad de Buenos AiresBuenos AiresArgentina
  5. 5.Departamento de Física, FCENUniversidad de Buenos AiresBuenos AiresArgentina

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