We consider the problem of obtaining conformally invariant differential operators in Minkowski space. We show that the conformal electrodynamics equations and the gauge transformations for them can… (More)

We present a formalism for dimensional reduction based on the local properties of invariant cross-sections (“fields”) and differential operators. This formalism does not need an ansatz for the… (More)

The most commonly deployed web service applications employ client-server communication patterns, with clients running remotely and services hosted in data centers. In this paper, we make the case for… (More)

We give an algorithm to write down all conformally invariant differential operators acting between scalar functions on Minkowski space. All operators of order k are nonlinear and are functions on a… (More)

Problems related to symmetries and dimensional reduction are common in the mathematical and physical literature, and are intensively studied presently. As a rule, the symmetry group (“reducing… (More)

We elaborate an explicit example of dimensional reduction of the free massless Dirac operator with SU(3)-symmetry, defined on 12-dimensional manifold, which is the total space of principle… (More)

N etworked collaboration tools may be the key to slashing health-care costs, improving productivity, facilitating disaster response, and enabling a more nimble information-aware military. Better… (More)

We introduce a new notion of a curvature of a superconnection, different from the one obtained by a purely algebraic analogy with the curvature of a linear connection. The naturalness of this new… (More)

We give an algorithm write down all conformally invariant differential operators acting between scalar functions on Minkowski space. All operators of order k are nonlinear and are functions on a… (More)

We propose a general mathematical framework for dealing with Light Fields: The Light Field is a 2-form on Light Space (LS). Light Space is the set of all rays in 3D, and is locally isomorphic to the… (More)