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Scalar masses in general N=2 gauged supergravity theories

  • Francesca Catino
  • Claudio A. Scrucca
  • Paul Smyth
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Abstract

We readdress the question of whether any universal upper bound exists on the square mass m 2 of the lightest scalar around a supersymmetry breaking vacuum in generic N=2 gauged supergravity theories for a given gravitino mass m 3/2 and cosmological constant V. We review the known bounds which apply to theories with restricted matter content from a new perspective. We then extend these results to theories with both hyper and vector multiplets and a gauging involving only one generator, for which we show that such a bound exists for both V > 0 and V < 0. We finally argue that there is no bound for the same theories with a gauging involving two or more generators. These results imply that in N=2 supergravity theories metastable de Sitter vacua with V ≪ \( m_{{{3 \left/ {2} \right.}}}^2 \) can only arise if at least two isometries are gauged, while those with V ≫ \( m_{{{3 \left/ {2} \right.}}}^2 \) can also arise when a single isometry is gauged.

Keywords

Supersymmetry Breaking Extended Supersymmetry Supergravity Models dS vacua in string theory 
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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Francesca Catino
    • 1
  • Claudio A. Scrucca
    • 1
  • Paul Smyth
    • 1
  1. 1.Institut de Théorie des Phénomènes Physiques, EPFLLausanneSwitzerland

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