We analyze conditions for a tri-vector deformation of supergravity background to preserve some supersymmetry. Working in the formalism SL(5) exceptional field theory, we present its supersymmetry transformations and introduce an additional USp(4) transformation stay frame. This acts on local indices deforms BPS equations theory. The requirement vanish is desired condition. condition shown be co...

We show that several well-known one-dimensional quantum systems possess a hidden nonlocal supersymmetry. The simplest example is the open XXZ spin chain with ∆ = − 1 2 . We use the supersymmetry to place lower bounds on the ground state energy with various boundary conditions. For an odd number of sites in the periodic chain, and with a particular boundary magnetic field in the open chain, we c...

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...

We argue that fermion-boson mapping techniques represent a natural tool for studying manybody supersymmetry in fermionic systems with pairing. In particular, using the generalized Dyson mapping of a many-level fermion superalgebra with the SU(2) type of pairing we investigate two kinds of supersymmetry connecting excitations in the systems with even and odd particle numbers: dynamical supersymm...

Up to now, supersymmetry has been a theorist’s dream and an experimentalist’s nightmare. On the one hand, theorists tend to like supersymmetry because it provides a beautiful mathematical structure which can be used to stabilize the mass hierarchy against radiative corrections. On the other hand, many experimentalists despise the subject because supersymmetric predictions always seem to lie jus...

Title of dissertation: NEW MECHANISMS FOR TRANSMISSION OF SUPERSYMMETRY BREAKING Siew Phang Ng, Doctor of Philosophy, 2004 Dissertation directed by: Associate Professor Markus A. Luty, Department of Physics We considered new mechanisms for transmission of supersymmetry breaking and their phenomenological consequences. Specifically, we investigated the scalar mass corrections via five-dimensiona...

The γ-trace anomaly of supersymmetry current in a supersymmetric gauge theory shares a superconformal anomaly multiplet with the chiral R-symmetry anomaly and the Weyl anomaly, and its holographic reproduction is a valuable test to the AdS/CFT correspondence conjecture. We investigate how the γ-trace anomaly of the supersymmetry current of N = 1 four-dimensional su-persymmetric gauge theory in ...

Sweet spot supersymmetry is a phenomenologically and cosmologically perfect framework to realize a supersymmetric world at short distance. We discuss a class of dynamical models of supersymmetry breaking and its mediation whose low-energy effective description falls into this framework. Hadron fields in the dynamical models play a role of the messengers of the supersymmetry breaking. As is alwa...

Starting with two supersymmetric dual theories, we imagine adding a chiral perturbation that breaks supersymmetry dynamically. At low energy we then get two theories with soft supersymmetry-breaking terms that are generated dynamically. With a canonical Kähler potential, some of the scalars of the “magnetic” theory typically have negative mass-squared, and the vector-like symmetry is broken. Si...

We classify the variety of low-energy supersymmetric signatures that can be probed at future colliders. We focus on phenomena associated with the minimal supersymmetric extension of the Standard Model. The structure of the supersymmetry-breaking introduces additional model assumptions. The approaches considered here are supergravity-mediated and gauge-mediated supersymmetry-breaking. Alternativ...