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Journal of High Energy Physics

, 2012:89 | Cite as

N=2 supergravity counterterms, off and on shell

  • W. Chemissany
  • S. Ferrara
  • R. Kallosh
  • C. S. Shahbazi
Open Access
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Abstract

We study N=2 supergravity deformed by a genuine supersymmetric completion of the λR 4 term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2 supergravity with higher derivative deformation. Elimination of auxiliary fields leads to the deformation of the supersymmetry rules as well as to the deformation of the action, which becomes a Born-Infeld with higher derivative type action. We find that the gravitino supersymmetry deformation starts from \( \lambda {\partial^4}{{\mathcal{F}}^3} \) and has higher graviphoton couplings. In the action there are terms \( {\lambda^2}{\partial^8}{{\mathcal{F}}^6} \) and higher, in addition to original on shell counterterm deformation. These deformations are absent in the on shell superspace and in the candidate on shell counterterms of N=4, 8 supergravities, truncated down to N=2. We conclude therefore that the undeformed on shell superspace candidate counterterms break the N=2 part of local supersymmetry.

Keywords

Supersymmetry and Duality Models of Quantum Gravity Global Symmetries String Duality 
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Copyright information

© SISSA 2012

Authors and Affiliations

  • W. Chemissany
    • 1
    • 2
  • S. Ferrara
    • 3
    • 4
  • R. Kallosh
    • 1
  • C. S. Shahbazi
    • 1
    • 5
  1. 1.Stanford Institute for Theoretical Physics and Department of PhysicsStanford UniversityStanfordU.S.A.
  2. 2.Department of Physics and AstronomyUniversity of WaterlooWaterlooCanada
  3. 3.Physics Department, Theory UnitCERNGeneva 23Switzerland
  4. 4.INFN — Laboratori Nazionali di FrascatiFrascatiItaly
  5. 5.Instituto de Fisica Teorica UAM/CSICMadridSpain

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