Vector supersymmetry is shown to exist also in light-cone gauge ChernSimons theory. Using a gauge invariant regularization scheme, we demonstrate explicitly that the finite quantum correction to the coupling constant of Chern-Simons theory is intimately associated with the breaking of vector supersymmetry at the regularization level. The advantage of investigating such a quantum phenomenon in t...

We define a semi-Hopf algebra which is more general than a Hopf algebra. Then we construct the supersymmetry algebra via the adjoint action on this semi-Hopf algebra. As a result we have a supersymmetry theory with quantum gauge group, i.e., quantised enveloping algebra of a simple Lie algebra. For the example, we construct the Lagrangian N =1 and N =2 supersymmetry. ∗email : [email protected] 1

We study a N = 1 supersymmetric model in a S1×R spacetime. We find that by choosing appropriate boundary conditions for the contributing fields supersymmetry can be preserved. However if we add a hard supersymmetry breaking term, we observe that for small values of the length of the S dimension, supersymmetry remains unbroken and breaks spontaneously when the length exceeds a critical value. Th...

Dissertantenkolloquium at the university of Vienna on 29 November 2007. Some references are given, without attemtping to be complete or correct. 1. On the title and the motivation The title of this talk consists of a mathematical part and of a physical part. Supergeometry is mathematical and originated from the works of Berezin, Leites, Kostant (see e.g. in [1, 2, 3, 4]) and many others from 19...

A phenomenological model of free energy is presented to demonstrate a phase transition from a state with supersymmetry to a state without supersymmetry. The model is equivalent, in a commensurate phase, to the extended sublattice model for antiferroelectricity and ferrielectricity. In a selected set of parameters, the state with supersymmetry (antiferroelectric state) transforms to the symmetry...

A dynamically broken hadron supersymmetry appears to exist as a consequence of QCD. The reasons for the supersymmetry appear most transparently in the framework of the constituent quark model with a diquark approximation to two quarks. Applications of the supersymmetry have led to relations between meson and baryon masses and to predictions that certain kinds of exotic hadrons should not be obs...

We investigate the relation between supersymmetry and geometry for two dimensional sigma models with target spaces of arbitrary signature, and Lorentzian or Euclidean world-sheets. In particular, we consider twisted forms of the two-dimensional (p, q) supersymmetry algebra. Superspace formulations of the (p, q) heterotic sigma-models with twisted or untwisted supersymmetry are given. For the tw...

We construct the derivative corrections to the four-point vertices in the abelian open string effective action to all orders in α . The result is based on the structure of the string fourpoint function. Supersymmetry of these vertices is guaranteed by the supersymmetry of the F 4 term in the effective action. By this construction we establish the existence of an infinite number of supersymmetry...

We show that a dynamical supersymmetry can appear in a purely fermionic system. This " supersymmetry without bosons " is constructed by application of a recently introduced boson-fermion Dyson mapping from a fermion space to a space comprised of collective bosons and ideal fermions. In some algebraic fermion models of nuclear structure, particular Hamiltonians may lead to collective spectra of ...

We obtain a bosonization prescription that allows to represent the energy-momentum tensor and supersymmetry generators of non-critical superstring theories with minimal matter as those of topological supergravity. Superstrings with N = 1 and N = 2 world-sheet supersymmetry are considered. The topological symmetry associated with the topological supergravity representation is studied. It is show...