We argue that off-shell dualities between d=1 supermultiplets with different sets of physical bosonic components and the same number of fermionic ones are related to gauging some symmetries in the actions of the supermultiplets with maximal sets of physical bosons. Our gauging procedure uses off-shell superfields and so is manifestly supersym-metric. We focus on N =4 supersymmetric mechanics an...

We consider the standard vector gauging of Lorentz group SO(3, 1) WZWmodel by its non-semisimple null Euclidean subgroup in two dimensions E(2). The resultant effective action of the theory is seen to describe a one dimensional bosonic field in the presence of external charge that we interpret it as a Liouville field. Gauging a boosted SO(3) subgroup, we find that in the limit of the large boos...

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. Among eight independent isometries of the scalar manifold, we focus on three directions for gauging by the graviphoton. The class of models we consider includes the 5D heterotic M-theory and the supersym...

In hydrological practice, individual elements of the cycle are most often estimated and evaluated separately. Uncertainty in size estimation extrema discharges their return period can affect statistical assessment significance floods. One example is simultaneous occurrence joining extremes at confluence rivers. The paper dealt with evaluation two independent variables joint probabilities occurr...

It is well known that unitary symmetries can be “gauged,” i.e., defined to act in a local way, which leads to a corresponding gauge field. Gauging, for example, the charge-conservation symmetry leads to electromagnetic gauge fields. It is an open question whether an analogous process is possible for time reversal which is an antiunitary symmetry. Here, we discuss a route to gauging time-reversa...