scholarly journals Partial breaking of global supersymmetry and super particle actions

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
S. Bellucci ◽  
N. Kozyrev ◽  
S. Krivonos ◽  
A. Sutulin
Keyword(s):  
Global Supersymmetry

scholarly journals Magnetic deformation of super-Maxwell theory in supergravity

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Ignatios Antoniadis ◽  
Jean-Pierre Derendinger ◽  
Hongliang Jiang ◽  
Gabriele Tartaglino-Mazzucchelli
Keyword(s):  
Real Field ◽  
Necessary Condition ◽  
Tensor Calculus ◽  
Maxwell Theory ◽  
Abelian Gauge ◽  
Alternative Description ◽  
Minimal Supergravity ◽  
Global Supersymmetry ◽  
Nonlinear Deformations ◽  
Working Out

Abstract A necessary condition for partial breaking of $$ \mathcal{N} $$ N = 2 global supersymmetry is the presence of nonlinear deformations of the field transformations which cannot be generated by background values of auxiliary fields. This work studies the simplest of these deformations which already occurs in $$ \mathcal{N} $$ N = 1 global supersymmetry, and its coupling to supergravity. It can be viewed as an imaginary constant shift of the D-auxiliary real field of an abelian gauge multiplet. We show how this deformation describes the magnetic dual of a Fayet-Iliopoulos term, a result that remains valid in supergravity, using its new-minimal formulation. Local supersymmetry and the deformation induce a positive cosmological constant. Moreover, the deformed U(1) Maxwell theory coupled to supergravity describes upon elimination of the auxiliary fields the gauging of R-symmetry, realised by the Freedman model of 1976. To this end, we construct the chiral spinor multiplet in superconformal tensor calculus by working out explicitly its transformation rules and use it for an alternative description of the new-minimal supergravity coupled to a U(1) multiplet. We also discuss the deformed Maxwell theory in curved superspace.

Dynkin Weights and Global Supersymmetry in Grand Unification

1982 ◽  
Vol 48 (18) ◽  
pp. 1237-1241 ◽  
Author(s):  
Paul H. Frampton ◽  
Thomas W. Kephart
Keyword(s):  
Grand Unification ◽  
Global Supersymmetry

SUPERPARTICLES, TWISTORS AND SIEGEL SYMMETRY

1989 ◽  
Vol 04 (10) ◽  
pp. 901-908 ◽  
Author(s):  
D.P. SOROKIN ◽  
V.I. TKACH ◽  
D.V. VOLKOV
Keyword(s):  
Relativistic Particle ◽  
Proper Time ◽  
Space Time ◽  
Global Supersymmetry

It is shown that an explicit incorporation of twistor variables into the lagrangian of a massless relativistic particle together with the local supersymmetrization of its proper time leads to a lagrangian which is invariant under the space-time global supersymmetry. The equivalence of the Siegel symmetry and the local proper-time supersymmetry with a complexified Grassmann parameter is established. The Siegel algebra is formed by an irreducible set of covariant constraints and is closed off-shell.

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