On $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions

Supersymmetry in Three Dimensions

AdS Supersymmetry in Two and Three Dimensions

We investigate the nonlinear realization of partially broken N=2 global supersymmetry in the D = 2 and 3 anti de-Sitter (AdS) space. We particularly study Nambu-Goldstone degrees of freedom for the N=2 AdS supersymmetry partially broken down to N=1 AdS supersymmetry, where we observe a NG fermion of the broken supersymmetry and a NG boson of the internal symmetry which form a NG multiplet. Base...

Supersymmetry and Bosonization in three dimensions

We discuss on the possible existence of a supersymmetric invariance in purely fermionic planar systems and its relation to the fermionboson mapping in three-dimensional quantum field theory. We consider, as a very simple example, the bosonization of free massive fermions and show that, under certain conditions on the masses, this model displays a supersymmetric-like invariance in the low energy...

Central Extensions of Supersymmetry in Four and Three Dimensions

We consider the maximal central extension of the supertranslation algebra in d=4 and 3, which includes tensor central charges associated to topological defects such as domain walls (membranes) and strings. We show that for all N -extended superalgebras these charges are related to nontrivial configurations on the scalar moduli space. For N = 2 theories obtained from compactification on Calabi-Y...

Supersymmetry in Four Dimensions

We study four dimensional chiral N = 1 supersymmetric theories on which the scalar manifold is described by Kähler geometry and further, it can be viewed as Kähler-Ricci soliton. All couplings and solutions, namely BPS domain walls and their supersymmetric Lorentz invariant vacuums turn out to be evolved with respect to the soliton. Two models are discussed, namely N = 1 theory on Kähler-Einste...