Journal of High Energy Physics

, 2018:64 | Cite as

Deformations of vector-scalar models

  • Glenn Barnich
  • Nicolas Boulanger
  • Marc Henneaux
  • Bernard Julia
  • Victor Lekeu
  • Arash Ranjbar
Open Access
Regular Article - Theoretical Physics


Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations (“gaugings”), i.e., the deformations that preserve the number (but not necessarily the form or the algebra) of the gauge symmetries. Infinitesimal consistent deformations are given by the BRST cohomology classes at ghost number zero. We parametrize explicitly these classes in terms of various types of global symmetries and corresponding Noether currents through the characteristic cohomology related to antifields and equations of motion. The analysis applies to all ghost numbers and not just ghost number zero. We also provide a systematic discussion of the linear and quadratic constraints on these parameters that follow from higher-order consistency. Our work is relevant to the gaugings of extended supergravities.


BRST Quantization Gauge Symmetry Global Symmetries Supergravity Models 


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) 2018

Authors and Affiliations

  • Glenn Barnich
    • 1
  • Nicolas Boulanger
    • 1
    • 2
  • Marc Henneaux
    • 1
    • 3
  • Bernard Julia
    • 3
  • Victor Lekeu
    • 1
  • Arash Ranjbar
    • 1
  1. 1.Université libre de Bruxelles and International Solvay InstitutesBrusselsBelgium
  2. 2.Groupe de Mécanique et Gravitation, Physique Théorique et MathématiqueUniversité de Mons — UMONSMonsBelgium
  3. 3.Laboratoire de Physique théorique de l’Ecole Normale SupérieureParis CEDEXFrance

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