Matter couplings in partially broken extended supersymmetry

Abstract

We use nonlinear realizations to describe the spontaneous breaking of N = 2 supersymmetry to N = 1 in four dimensions. We identify the Goldstone multiplet with an N = 1 chiral superfield, and show that chiral N = 1 matter is consistent with the partially broken N = 2 supersymmetry. We find that the chiral matter can be in any representation of the gauge group; no mirror particles are required. We present the Goldstone action and the general couplings to N = 1 matter to the first nontrivial order in the scale of symmetry breaking.

Dirac Gaugino Masses and Supersoft Supersymmetry Breaking

“…4 Extending the gauge sector to N = 4 would 4 It may be possible to realize N = 2 extended supersymmetry nonlinearly in the matter sector coupled to linear N = 2 supersymmetry in the gauge sector [9][10][11][12][13]. make the total beta functions for the gauge groups excessively positive, leading again to low energy Landau poles, so we only extend the gauge sector to N = 2.…”

N=2 Super-Born-Infeld from Partially BrokenN=3 Supersymmetry ind=4

“…We imposed some restrictions over the most general set of variations, asking for the subset that could be considered as second supersymmetries non-linearly realized, and choosing the ones that fulfill the N = 2 algebra. Moreover, we were able to find the action constructed in [12] as a particular case. In another case, we find the action in [20] Though the non-linear realization formalism was carried out in both cases completely without central charges, and the geometrical objects involved are independent of them, the resulting algebras reveal the presence of a hidden central charge.…”

“…(21) Choosing X = 0 we obtain the action of Bagger and Galperin [12], coming from the breaking of N = 2 supersymmetry with central charges. Note that our conventions are different from the cited paper (see Appendix A).…”

Partial breaking of global supersymmetry and super particle actions

“…We start with the edifying example of the system with the N = 16 → N = 8 pattern of supersymmetry breaking and then will generalize the constructed action to the general N = 4 · 2 k → N = 2 · 2 k case. It is a well known fact that the action for the given pattern of the supersymmetry breaking is completely defined by the choice of the corresponding Goldstone supermultiplet [4][5][6][7][8][9][10][11][12][13][14][15]. The bosonic scalars in the supermultiplet are associated with the central charges in the supersymmetry algebra.…”