The Noether currents associated with the non-linearly realized super-Poincaré symmetries of the Green-Schwarz (Nambu-Goto-Akulov-Volkov) action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace are constructed. The R symmetry current, the supersymmetry currents, the energy-momentum tensor and the scalar central charge current are shown to be components of a world volume supercurr...

The N = 1 superspace generalization of the 3-brane action in 6 dimensions with partially broken N = 2 supersymmetry can be constructed using N = 1 chiral, complex linear, or real linear superfields. The physical scalars of these multiplets give equivalent descriptions of the two transverse coordinates. The second supersymmetry is realized nonlinearly in all these actions. We derive the superspa...

In this talk we will study the partial breaking of supersymmetry in flat and anti de Sitter space. We will see that partial breaking in flat space can be accomplished using either of two representations for the massive N = 1 spin-3/2 multiplet. We will “unHiggs” each representation and find a new N = 2 supergravity and a new N = 2 supersymmetry algebra. We will also see that partial supersymmet...

In supersymmetry, the Higgs quartic couplings is given by the sum in quadrature of the weak gauge couplings. This leads to the prediction of a light Higgs boson, which still holds when considering loop corrections from soft supersymmetry breaking. However, another source of corrections, which explicitly depends on the scale of the mediation of supersymmetrey breaking, is from generic hard break...

We analyze in detail the possible breaking of space-time supersymmetry under Tduality transformations. We find that when appropiate world-sheet effects are taken into account apparent puzzles concerning supersymmetry in space-time are solved. We study T-duality in general heterotic σ-models analyzing possible anomalies, and we find some modifications of Buscher’s rules. We then work out a simpl...

The Higgsino mass, or equivalently the µ-parameter, plays an essential role in determining the phenomenology of any supersymmetric model. Particularly, the size of the supersymmetry conserving µ-parameter must be correlated with the size of the soft supersymmetry breaking parameters. The source of this correlation in the underlying ultraviolet theory is one of the mysteries of supersymmetry mod...

We investigate the microphysics of cosmic strings in Nonabelian gauge theories with N = 1 supersymmetry. We give the vortex solutions in a specific example and demonstrate that fermionic superconductivity arises because of the couplings and interactions dictated by supersymmetry. We then use supersymmetry transformations to obtain the relevant fermionic zero modes and investigate the role of so...

Quantum integrable models that possess N = 2 supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some N = 2 supersymmetric boundary integrable models, and the effective boundary Landau-Ginzburg actions are constructed. It is found that N = 2 supersymmetry largely determines the boundary action in terms of the bulk, and in particular, the boundary ...

We study the constraint imposed by supersymmetry on the exact S-matrix of CP n−1 model, and compute a non-trivial phase factor in the relation between the S-matrix and one of the supersymmetry generators. We discuss several features connected with the physical interpretation of the result. The supersymmetry current is studied in such context as well, and we find some operators appearing in the ...

An unusual four-dimensional generally covariant and supersymmetric SU(2) gauge theory is described. The theory has local degrees of freedom, and is invariant under a local (left-handed) chiral supersymmetry, which is half the supersymmetry of supergravity. The Hamiltonian 3+1 decomposition of the theory reveals the remarkable feature that the local supersymmetry is a consequence of Yang-Mills s...