We derive the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and antiBRST symmetry transformations for all the fields of a free Abelian 2-form gauge theory by exploiting the geometrical superfield approach to BRST formalism. The above four (3 + 1)dimensional (4D) theory is considered on a (4, 2)-dimensional supermanifold parameterized by the four even spacetime variables x (with μ = 0, 1,...

The genesis of this paper lies in theoretical questions in geometrical diffraction theory where a central role is played by the systems of rays passing through a boundary of an obstacle ~aperture! ~cf. Refs. 1,2!. It is explained in Refs. 1,3,4 why the proper isotropic submanifolds of cotangent boundles ~phase spaces! do occur in geometrical diffraction and why the symmetry group of these objec...

Perceived organization of hierarchically constructed patterns was investigated through similarity judgments and a verbal description task. The number of elements and their sizes relative to the configuration were varied in a series of five experiments. The results show that in patterns composed of a few relatively large elements, the elements are perceived as individual parts of the overall for...