1/4 PBGS and Superparticle Actions

Abstract

We construct the worldline superfield massive superparticle actions which preserve 1/4 portion of the underlying higher-dimensional supersymmetry. We consider the cases of N = 4 → N = 1 and N = 8 → N = 2 partial breaking. In the first case we present the corresponding Green-Schwarz type target superspace action with one κ-supersymmetry. In the second case we find out two possibilities, one of which is a direct generalization of the N = 4 → N = 1 case, while another is essentially different.

Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the Delduc1, Ivanov2 2007Nuclear Physics BSelf Cite5031130View full textAdd to dashboardCite

“…The sigma-model q +a actions invariant under (2.27b) are then constructed as 16) where the second form of the action is achievable due to the property that I 0 does not depend on harmonics. Passing to the gauge invariant actions is then accomplished by covariantizing the constraint (2.16) as in (4.2) and making the substitution q −a ⇒q −a in (4.15) and (4.16):…”

“…As a by-product we constructed a new non-linear superfield version of the multiplet (4,4,0) in N =4, d = 1 harmonic superspace (see also [11], [16]- [18]). Some further examples of our gauging procedure leading to the N =4 multiplets (0, 4, 4) and (1,4,3) were also considered.…”

N = 1, D = 2 supermembrane in the coset approach

“…(20b) and the kinematical eqs. (19). Indeed, inserting (19) into (20b) and using the algebra (17), one can derive…”

Type IIB Green–Schwarz superstring in plane wave Ramond–Ramond background

“…As in the previous construction of the type IIB superstring action in AdS 5 × S 5 [8], we obtain the space-time supersymmetric and κ-symmetric action in terms of the invariant Cartan one-forms defined on the appropriate coset superspace. The supercoset construction turned out to be very effective and fruitful and was used to construct AdS (2) and AdS(3) superstring actions [15]- [18], brane actions in super AdS/RR backgrounds [10], [19], and various AdS supermembrane actions [20]- [22]. This paper is organized as follows.…”