Gravity-mediated SUSY breaking, RR symmetry, and hyperbolic Kähler geometry

Dec 26, 2018
12 pages
Published in:
  • Phys.Rev.D 100 (2019) 5, 055013
  • Published: Sep 12, 2019
e-Print:

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Abstract: (APS)
A novel realization of the gravity-mediated supersymmetry breaking is presented, taking into account a continuous global R symmetry. Consistently with it, we employ a linear superpotential for the hidden-sector superfield and a Kähler potential parametrizing the SU(1,1)/U(1) Kähler manifold with constant curvature -1/2. The classical vacuum energy vanishes without unnatural fine tuning and nonvanishing soft supersymmetry-breaking parameters, of the order of the gravitino mass, arise. A solution to the μ problem of minimal supersymmetric Standard Model may be also achieved by conveniently applying the Giudice-Masiero mechanism. The potentially troublesome R axion may acquire acceptably large mass by explicitly breaking the R symmetry in the Kähler potential through a quartic term which does not affect, though, the achievements above.
Note:
  • Updated to match the published version
  • 12.60.Jv
  • 04.65.+e
  • Beyond the standard model
  • new physics
  • supersymmetry: symmetry breaking
  • mediation: gravitation
  • supergravity
  • R symmetry
  • mu-problem
  • SU(1,1)/U(1)