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arXiv · 0708.3148

R-symmetry, supersymmetry breaking and metastable vacua in global and local supersymmetric theories

Hiroyuki Abe·Tatsuo Kobayashi·Yuji Omura
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Abstract

We study N=1 global and local supersymmetric theories with a continuous global $U(1)_R$ symmetry as models of dynamical supersymmetry (SUSY) breaking. We introduce explicit R-symmetry breaking terms into such models, in particular a generalized O'Raifeartaigh model. Such explicit R-symmetry breaking terms can lead to a SUSY preserving minimum. We classify explicit R-symmetry breaking terms by the structure of newly appeared SUSY stationary points as a consequence of the R-breaking effect, which could make the SUSY breaking vacuum metastable. We show that the R-breaking terms are basically divided into two categories. One of them does not generate a SUSY solution, or yields SUSY solutions that disappear in the case of supergravity when we tune a parameter so that the original SUSY breaking minimum becomes a Minkowski vacuum. We also show that the general argument by Nelson and Seiberg for a dynamical SUSY breaking still holds with a local SUSY except for a certain nontrivial case, and present concrete examples of the exception.

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Hiroyuki Abe, Tatsuo Kobayashi, Yuji Omura. 2007-08-23. R-symmetry, supersymmetry breaking and metastable vacua in global and local supersymmetric theories. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F044

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