Implications of Gravitational Waves for Supersymmetric Grand Unification

Abstract

Supersymmetric grand unification based on $SO(10)$ is one of the most attractive paradigms in physics beyond the Standard Model. Inspired by the recent NANOGrav signal, we discuss the implications of detecting a stochastic gravitational wave background emitted by a network of cosmic strings for the $SO(10)$ grand unification. Starting from a minimal model with multiple steps of symmetry breaking, we show that it generally prefers a high intermediate scale above $10^{14}\mathrm{GeV}$ that is favored by observable primordial gravitational waves. The observed spectrum can potentially narrow the possible range of the cosmic string scale and restricts the unified couplings and the unification scale by requiring gauge coupling unification. As an indirect consequence of the high cosmic string scale, the monopole abundance places non-trivial constraints on the theory. These are complementary to the proton decay constraints and probe different facets of supersymmetric $SO(10)$ unification theories.

arXiv comment9 pages, 1 figure, 3 tables

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Cited by in corpus (12)

• Cosmic String Interpretation of NANOGrav Pulsar Timing Data
• Has NANOGrav found first evidence for cosmic strings?
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Primordial gravitational waves from NANOGrav: a broken power-law approach
• Stochastic gravitational-wave background from metastable cosmic strings
• Escape from supercooling with or without bubbles: gravitational wave signatures
• Testing Realistic $SO(10)$ SUSY GUTs with Proton Decay and Gravitational Waves
• Gravitational waves from cosmic strings associated with pseudo-Nambu-Goldstone dark matter
• Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
• Stability of non-topological string in supersymmetric $SU(2)\times U(1)$ gauge theory
• Testing hilltop supernatural inflation with gravitational waves
• Stability of the embedded string in the $SU(N)\times U(1)$ Higgs model and its application