Abstract
New realizations of the gravity-mediated SUSY breaking are presented consistently with an R symmetry. We employ monomial superpotential terms for the hidden-sector (goldstino) superfield and Kähler potentials parameterizing compact or non-compact Kähler manifolds. Their scalar curvature may be systematically related to the R charge of the goldstino so that Minkowski solutions without fine tuning are achieved. A mild violation of the R symmetry by a higher order term in the Kähler potentials allows for phenomenologically acceptable masses for the R axion. In all cases, non-vanishing soft SUSY-breaking parameters are obtained and a solution to the mu problem of MSSM may be accommodated by conveniently applying the Giudice–Masiero mechanism.
Highlights
The fact that Supersymmetry (SUSY) remains still unobservable in the nature does not invalidate its importance in constructing theories beyond the Standard Model (SM)
We show that if we associate WH with a Kähler a e-mail: kpallis@gen.auth.gr potential, KH, which parameterizes the SU (1, 1)/U (1) Kähler manifold with constant curvature −1/2 we can obtain a Minkowski vacuum (i.e., SUSY breaking with vanishing classical vacuum energy) without unnatural fine tuning, and non-vanishing soft SUSY-breaking (SSB) parameters [34,35,36], of the order of the gravitino mass, m3/2, which is readily determined at the tree level
We revealed that the solution (ν, N ) = (1, −4) presented in Ref. [1] is just one from a class of solutions obtained by considering various values for the R character of the goldstino superfield, Z, and letting free the geometry of the internal space
Summary
The fact that Supersymmetry (SUSY) remains still unobservable in the nature does not invalidate its importance in constructing theories beyond the Standard Model (SM). [1], we here consider compact [28,29,30,31] and non-compact [2,3,32] Kähler manifolds, whose the curvature is determined as a simple function of the R charge of Z. In both cases, we specify new SUSY-breaking minima and show that the same quartic term introduced in Refs.
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