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Inflation and Monopoles in Supersymmetric SU(4)_c x SU(2)_L x SU(2)_R
High Energy Physics - Phenomenology · Submitted 14 Feb 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show how hybrid inflation can be successfully realized in a supersymmetric model with gauge group G_{PS}= SU(4)_c x SU(2)_L x SU(2)_R.
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We show how hybrid inflation can be successfully realized in a supersymmetric model with gauge group G_{PS}= SU(4)_c x SU(2)_L x SU(2)_R. By including a non-renormalizable superpotential term, we generate an inflationary valley along which G_{PS} is broken to the standard model gauge group. Thus, catastrophic production of the doubly charged magnetic monopoles, which are predicted by the model, cannot occur at the end of inflation. The results of the cosmic background explorer can be reproduced with natural values (of order 10^{-3}) of the relevant coupling constant, and symmetry breaking scale of G_{PS} close to 10^{16} GeV. The spectral index of density perturbations lies between unity and 0.9. Moreover, the mu-term is generated via a Peccei-Quinn symmetry and proton is practically stable. Baryogenesis in the universe takes place via leptogenesis. The low deuterium abundance constraint on the baryon asymmetry, the gravitino limit on the reheat temperature and the requirement of almost maximal mu neutrino - tau neutrino mixing from SuperKamiokande can be simultaneously met with mu-neutrino, tau-neutrino and heaviest Dirac neutrino masses determined from the large angle MSW resolution of the solar neutrino problem, the SuperKamiokande results and SU(4)_c symmetry respectively.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show how hybrid inflation can be successfully realized in a supersymmetric model with gauge group G_{PS}= SU(4)_c x SU(2)_L x SU(2)_R. | contribution 0.97 | 0.94 | 0.36 | asserted 1.00 |
| s1 | By including a non-renormalizable superpotential term, we generate an inflationary valley along which G_{PS} is broken to the standard model gauge group. | method 0.88 | 0.90 | 0.09 | asserted 1.00 |
| s2 | Thus, catastrophic production of the doubly charged magnetic monopoles, which are predicted by the model, cannot occur at the end of inflation. | result 0.55 | 0.77 | 0.49 | asserted 0.93 |
| s3 | The results of the cosmic background explorer can be reproduced with natural values (of order 10^{-3}) of the relevant coupling constant, and symmetry breaking scale of G_{PS} close to 10^{16} GeV. | result 0.99 | 0.80 | 0.09 | asserted 0.92 |
| s4 | The spectral index of density perturbations lies between unity and 0.9. | result 1.00 | 0.86 | 0.06 | asserted 1.00 |
| s5 | Moreover, the mu-term is generated via a Peccei-Quinn symmetry and proton is practically stable. | result 0.76 | 0.77 | 0.06 | asserted 1.00 |
| s6 | Baryogenesis in the universe takes place via leptogenesis. | result 0.84 | 0.54 | 0.06 | asserted 1.00 |
| s7 | The low deuterium abundance constraint on the baryon asymmetry, the gravitino limit on the reheat temperature and the requirement of almost maximal mu neutrino - tau neutrino mixing from SuperKamiokande can be simultaneously met with mu-neutrino, tau-neutrino and heaviest Dirac neutrino masses determined from the large angle MSW resolution of the solar neutrino problem, the SuperKamiokande results and SU(4)_c symmetry respectively. | result 0.95 | 0.67 | 0.07 | asserted 0.87 |
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Original abstract
We show how hybrid inflation can be successfully realized in a supersymmetric model with gauge group G_{PS}= SU(4)_c x SU(2)_L x SU(2)_R. By including a non-renormalizable superpotential term, we generate an inflationary valley along which G_{PS} is broken to the standard model gauge group. Thus, catastrophic production of the doubly charged magnetic monopoles, which are predicted by the model, cannot occur at the end of inflation. The results of the cosmic background explorer can be reproduced with natural values (of order 10^{-3}) of the relevant coupling constant, and symmetry breaking scale of G_{PS} close to 10^{16} GeV. The spectral index of density perturbations lies between unity and 0.9. Moreover, the mu-term is generated via a Peccei-Quinn symmetry and proton is practically stable. Baryogenesis in the universe takes place via leptogenesis. The low deuterium abundance constraint on the baryon asymmetry, the gravitino limit on the reheat temperature and the requirement of almost maximal mu neutrino - tau neutrino mixing from SuperKamiokande can be simultaneously met with mu-neutrino, tau-neutrino and heaviest Dirac neutrino masses determined from the large angle MSW resolution of the solar neutrino problem, the SuperKamiokande results and SU(4)_c symmetry respectively.
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References
How the literature uses it
37 arXiv papers cite this in 56 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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We present a concrete supersymmetric grand unified model based on the Pati-Salam gauge group SU(4)_c x SU(2)_L x SU(2)_R and leading naturally to smooth hybrid inflation, which avoids the cosmological disaster encountered in the standard hybrid inflationary scenario from the overproduction of monopoles at the end of inflation.
Papers citing it · 38 sentences without a confident label
Uses its method or tool 2 papers
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One way to do this in our case is to invoke shifted hybrid inflation [ref] where a nonrenormalizable term ($S[(Φ_L^cΦ_L)^2+(Φ_R^cΦ_R)^2]$) is added to the superpotential.
SU(4)_C X SU(2)_L X SU(2)_R Models With C-parity · Introduction · 0.89
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Using the Coleman-Weinberg formula [ref] , the 1-loop contribution may be written as [ref] [equation] where $Q$ is the renormalization scale, and we have defined the useful parametrizations [equation] which we will use throughout our analysis.
Red Spectral Tilt and Observable Gravity Waves in Shifted Hybrid Inflation · Review of Shifted Hybrid Models · 0.92
Uses its data or values 1 paper
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The relevant part of the superpotential, including the leading non-renormalizable term, is W=S(-M^2+H^c^c)+βS (H^c^c)^2/M_S^2, where $M_S∼517GeV$ is a superheavy string scale [ref] .
Phenomenology and Cosmology of Supersymmetric Grand Unified Theories · Smooth hybrid inflation · 0.84
Compares with it 1 paper
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This was also accomplished in Refs. [ref] where the energy scale during inflation was associated with a $B - L$ breaking scale.[In previous models in the literature, Refs. [ref] , the energy scale during inflation was also related to a GUT symmetry breaking scale.
A Pati-Salam Version of Subcritical Hybrid Inflation · Introduction · 0.90
Cites it as background 14 papers
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In the standard version of SUSY hybrid inflation [ref] GUT symmetry is broken at the end of inflation whereas in the shifted [ref] and the smooth [ref] versions of the model it is broken during inflation.
Simplified Smooth Hybrid Inflation in Supersymmetric SU(5) · Introduction · 0.92
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Unlike the standard hybrid inflation scenario, where the gauge symmetry remains unbroken during inflation and is subsequently broken at the waterfall transition, shifted hybrid inflation incorporates higher-dimensional superpotential operators that displace the inflationary trajectory away from the origin, allowing the gauge symmetry to be broken already during inflation [ref] .
Shifted Hybrid Realization of Non-Minimal Higgs Inflation in Light of ACT DR6 and Planck Data · Introduction · 0.94
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Among all these variants, shifted [ref] and smooth [ref] hybrid inflation models are the simplest ones.
Simplified Smooth Inflation with Observable Gravity Waves · Introduction · 0.88
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