Abstract
We study the realistic structure of F-term Nambu-Goto cosmic strings forming in a general supersymmetric Grand Unified Theory implementation, assuming standard hybrid inflation. Examining the symmetry breaking of the unification gauge group down to the Standard Model, we discuss the minimal field content necessary to describe abelian cosmic strings appearing at the end of inflation. We find that several fields will condense in most theories, questioning the plausible occurrence of associated currents (bosonic and fermionic). We perturbatively evaluate the modification of their energy per unit length due to the condensates. We provide a criterion for comparing the usual abelian Higgs approximation used in cosmology to realistic situations.
Highlights
Considering a general SUSY GUT, we identify the minimal field content sufficient to describe the realistic string structure
As we study strings in models which are relevant in a particle physics and cosmological point of view, we assume that the superpotential and field content used imply at least one appropriate SSB scheme
Let us summarize by stating the different results obtained in this paper, focusing on the abelian strings forming at the last step of the SSB scheme, at the end of inflation
Summary
We consider a general SUSY GUT associated with a gauge group G. In order to implement hybrid inflation, it is a necessity to have at least two fields Σ and Σ in complex conjugate representations, which have a coupling term with the inflaton in the superpotential [12,13,14]. We assume the most general superpotential taking into account all the above chiral supermultiplets, supplemented by a specific term for the inflaton S to implement hybrid. We chose to consider separately the GUT and inflation parts, being as realistic as possible for the former and setting up the simplest possible model for the latter This is the approach found e.g. in [55]. Different kinds of terms such as S2, S3 or SΦ2 generate mass or quartic terms for the inflaton in the scalar potential and can spoil the inflation They must be considered with care [55]. The whole expression of a SO(10) model, with the normalizations and conventions of the present paper, is given in ref. [58]
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