Cosmic string configuration in the supersymmetric CSKR theory

Abstract

We study a cosmic string solution of an N=1-supersymmetric version of the Cremmer-Scherk-Kalb-Ramond (CSKR) model coupled to scalars and fermions. The 2-form gauge potential is proposed to couple non-minimally to matter, here described by a chiral scalar superfield. The important outcome is that supersymmetry is kept exact in the core and it may also hold in the exterior region of the string. We contemplate the configurations of the bosonic sector and we check that the solutions saturate the Bogomolǹyi bound. A glimpse on the fermionic zero modes is also given.

Superfield effective potential for the supersymmetric topologically massive gauge theory in four dimensions

“…While in [4] only the free theory has been considered, we study here its coupling to a chiral matter. Classical aspects of this model were discussed in [5]. An alternative coupling for the linear superfield and tensor multiplet has been discussed in [6], where some of its string-related aspects were considered (for applications of this multiplet see also the references therein).…”

Topologically massive spin-1 particles and spin-dependent potentials

“…It is well-known, however, that the exchange of a scalar and a s = 1 boson between sources of equal charges yields attractive and repulsive interactions, respectively, therefore justifying the aforementioned sign difference between Eqs. (26) and (28).…”

“…3, it is important to obtain suitable spin operators in order to obtain the propagators of the model. The spin operators that act on an anti-symmetric 2-form are (15) which are anti-symmetric generalizations of the projectors θ μν and ω μν [28][29][30]. The comma indicates that we have anti-symmetry in changes μ ↔ ν or ρ ↔ σ .…”

Superfield effective potential for the two-form field

“…Then, we introduce the following gauge invariant action involving coupling of matter and gauge fields [8] studied also in [9] within the cosmic strings context:…”