Topological pseudodefects of a supersymmetric $SO(10)$ model and cosmology

Abstract

Obtaining realistic supersymmetry preserving vacua in the minimal renormalizable supersymmetric $Spin(10)$ GUT model introduces considerations of the non-trivial topology of the vacuum manifold. The $D$-parity of low energy unification schemes gets lifted to a one-parameter subgroup $U(1{)}_D$ of $Spin(10)$. Yet, the choice of the fields signaling spontaneous symmetry breaking leads to disconnected subsets in the vacuum manifold related by the $D$-parity. The resulting domain walls, existing due to topological reasons but not stable, are identified as topological pseudodefects. We obtain a class of one-parameter paths connecting $D$-parity flipped vacua and compute the energy barrier height along the same. We consider the various patterns of symmetry breaking which can result in either intermediate scale gauge groups or a supersymmetric extension of the Standard Model. If the onset of inflation is subsequent to GUT breaking, as could happen also if inflation is naturally explained by the same GUT, the existence of such pseudodefects can leave signatures in the CMB. Specifically, this could have an impact on the scale invariance of the CMB fluctuations and LSS data at the largest scale.

8 Pages, 2 figures, matches with the published version in PRD

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Cited by in corpus (7)

• Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
• Probing Left-Right Symmetry via Gravitational Waves from Domain Walls
• Threshold effects on prediction for proton decay in non-supersymmetric $E_6$ GUT with intermediate trinification symmetry
• Left-Right Symmetry Breaking and Gravitational Waves : A Tale of Two Phase Transitions
• New ultraviolet operators in supersymmetric SO(10) GUT and consistent cosmology
• Reheating constraints to modulus mass for single field inflationary models
• Primordial black holes from D-parity breaking in SO(10) grand unified theory