A discussion on supersymmetric cosmic strings with gauge-field mixing

Abstract

In this paper, following a stream of investigation on supersymmetric gauge theories with cosmic string solutions, we contemplate the possibility of building up a D-and-F term cosmic string by means of a gauge-field mixing in connection with a U (1) × U (1) ′ -symmetry. The spontaneous break of both gauge symmetry and supersymmetry are thoroughly analysed and the fermion zero-modes are worked out. The role of the gauge-field mixing parameter is elucidated in connection with the string configuration that comes out. As an application of the model presented here, we propose the possibility that the supersimetric cosmic string yield production of fermionic charge carriers that may eject, at their late stages, particles that subsequently decay to produce cosmic rays of ultra-high energy. In our work, it turns out that massive supersymmetric fermionic partners may be produced for a susy breaking scale in the range 10 11 to 10 13 GeV, which is compatible with the phenomenology of a gravitino mass at the TeV scale. We also determine the range of the gauge-field mixing parameter, α, in connection with the mass scales of the present model. PACS numbers:

On the Potentials of Supersymmetric Theories with Gauge-Field Mixing Terms

“…The mixing parameters are in agreement with the cosmic string particle generation presented in [11].…”

“…The cosmic string that we have revised in Ref. [11], is determined in connection of the scalar potential U CS of the eq. (3.4).…”

“…Flat directions in scalar potentials appear in SUSY theories: Abelian theories where the gauge symmetry is broken with a Fayet-Iliopoulos (FI) D-term [8]. Some consequences of the SUSY teories with a D-term are cosmic string formation [9][10][11][12][13][14][15]; another consequence is the hybrid inflation [16]. In the first case, there is the possibility that the cosmic string has not been formated in these U(1) models with the flat directions [17].…”

Bosonic structure of realistic SO(10) supersymmetric cosmic strings

“…Taking into account the previous results, we can broadly evaluate their contribution to the Lagrangian density, from Eq. (44). The contribution of the field f is of order κ 2 M 4 , and the one of the field Q of order M 4 (we estimate g and Tr τ str 2 to be of order unity).…”

Discussing cosmic string configurations in a supersymmetric scenario without Lorentz invariance

“…The Kalb-Ramond field can play the role of the background field in [16,17]. In another context, vortex configurations may be studied in the brane-world framework [18] and present important results in a supersymmetric scenario [19][20][21][22][23]. These motivations are the basis for this work, where we consider a rather general set of background fields that induce LIV in connection with possible supersymmetric cosmic string configurations.…”