Gauged R-symmetry and its anomalies in 4D N=1 supergravity and phenomenological implications

Abstract

We consider a class of models with gauged U(1)_R symmetry in 4D N=1 supergravity that have, at the classical level, a metastable ground state, an infinitesimally small (tunable) positive cosmological constant and a TeV gravitino mass. We analyse if these properties are maintained under the addition of visible sector (MSSM-like) and hidden sector state(s), where the latter may be needed for quantum consistency. We then discuss the anomaly cancellation conditions in supergravity as derived by Freedman, Elvang and Körs and apply their results to the special case of a U(1)_R symmetry, in the presence of the Fayet-Iliopoulos term ($\xi$) and Green-Schwarz mechanism(s). We investigate the relation of these anomaly cancellation conditions to the "naive" field theory approach in global SUSY, in which case U(1)_R cannot even be gauged. We show the two approaches give similar conditions. Their induced constraints at the phenomenological level, on the above models, remain strong even if one lifted the GUT-like conditions for the MSSM gauge couplings. In an anomaly-free model, a tunable, TeV-scale gravitino mass may remain possible provided that the U(1)_R charges of additional hidden sector fermions (constrained by the cubic anomaly alone) do not conflict with the related values of U(1)_R charges of their scalar superpartners, constrained by existence of a stable ground state. This issue may be bypassed by tuning instead the coefficients of the Kahler connection anomalies (b_K, b_{CK}).

arXiv comment24 pages

References in corpus (31)

• de Sitter Vacua in String Theory
• Soft Supersymmetry Breaking in KKLT Flux Compactification
• D-Branes at Singularities : A Bottom-Up Approach to the String Embedding of the Standard Model
• Stability of flux compactifications and the pattern of supersymmetry breaking
• Phenomenology of Mixed Modulus-Anomaly Mediation in Fluxed String Compactifications and Brane Models
• Field Dependent Gauge Couplings in Locally Supersymmetric Effective Quantum Field Theories
• De Sitter Vacua from Matter Superpotentials
• Fayet-Iliopoulos Terms in Supergravity and Cosmology
• Bottom-Up Approach to Moduli Dynamics in Heavy Gravitino Scenario : Superpotential, Soft Terms and Sparticle Mass Spectrum
• Gaugino condensation and the anomalous $U(1)$
• Anomalies, Anomalous U(1)'s and generalized Chern-Simons terms
• de-Sitter vacua via consistent D-terms
• de Sitter Space in Non-Critical String Theory
• A D-Brane Alternative to the MSSM
• Anomaly-Free Gauged R-Symmetry in Local Supersymmetry
• String Unification, Higher-Level Gauge Symmetries, and Exotic Hypercharge Normalizations
• Soft Scalar Masses in String Models with Anomalous $U(1)$ symmetry
• Consequences of Supergravity with Gauged $\mathrm{U}(1{)}_{\mathrm{R}}$ Symmetry
• Generic Formula of Soft Scalar Masses in String Models
• Nonlinear N=2 Supersymmetry, Effective Actions and Moduli Stabilization
• Strong Unification
• Vacuum (Meta)Stability Beyond the MSSM
• Unification predictions
• Anomaly Cancellation in Supergravity with Fayet-Iliopoulos Couplings
• On Fayet-Iliopoulos terms and de Sitter vacua in supergravity: some easy pieces
• Kahler Anomalies in Supergravity and Flux Vacua
• The effect of Yukawa couplings on Unification Predictions and the non-perturbative limit
• Gauged R-symmetry and de Sitter vacua in supergravity and string theory
• Supersymmetry Breaking and the Cosmological Constant
• Supersymmetric codimension-two branes and U(1)_R mediation in 6D gauged supergravity
• A note on two-loop effects in the DMSSM

Cited by in corpus (10)

• Inflation from Supersymmetry Breaking
• Inflation from Supergravity with Gauged R-symmetry in de Sitter Vacuum
• Polonyi Inflation
• A microscopic model for inflation from supersymmetry breaking
• Reheating after inflation by supersymmetry breaking
• A QCD R-Axion
• Gauging MSSM global symmetries and SUSY breaking in de Sitter vacuum
• Phenomenological aspects of supergravity theories in de Sitter vacua
• Gauging the R-symmetry of old-minimal $R+R^2$ supergravity
• Hybrid inflation from supersymmetry breaking