Abstract

In the effective field theory framework, we consider the effect of supersymmetry breaking via gaugino condensation and supergravity in the hidden sector gauge group on the hidden sector vacuum angle θ h . The θ h parameter dependence of the potential yields phenomenologically acceptable invisible axion solutions if the U(1) R symmetry is broken down to a discrete subgroup Z N with N≥3 ( N=4 is marginal). Anomalous U(1) superstring models are good candidates for this invisible axion resolution of the strong CP puzzle.

Highlights

  • (e)Max-Planck-Institut fur Physik, D-80805 Munchen, Germany In the effective field theory framework, we consider the effect of supersymmetry breaking via gaugino condensation and supergravity in the hidden sector gauge group on the hidden sector vacuum angle θh

  • The Peccei-Quinn (PQ) global symmetry [5], the global symmetry needed for the axion solution, or the up quark chiral symmetry is ad hoc in gauge theories, since the gravitational interaction is expected to break all global symmetries explicitly

  • Even if the axion solution is attractive theoretically and cosmologically, one has to overcome the puzzle of global symmetry in the presence of the gravitational interaction

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Summary

Introduction

(e)Max-Planck-Institut fur Physik, D-80805 Munchen, Germany In the effective field theory framework, we consider the effect of supersymmetry breaking via gaugino condensation and supergravity in the hidden sector gauge group on the hidden sector vacuum angle θh. In models in which SUSY is broken by gaugino condensation in a hidden sector and supergravity, we expect this condensation to spontaneously break the U (1)X at a scale FX ∼ 1012 GeV.

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