Lorentz-violating electrostatics and magnetostatics

The inverse source problems of magnetostatics and electrostatics

The problem of retrieving a static current density from knowledge of the magnetic field it produces at a plane is solved. This problem does not have a unique solution. However, there is a unique solution of the least L2 norm. The Fourier transform of the minimum norm current distribution is given in closed form. The minimum norm current distribution is a filtered version of any other current di...

Lorentz-Violating Supergravity

The standard forms of supersymmetry and supergravity are inextricably wedded to Lorentz invariance. Here a Lorentz-violating form of supergravity is proposed. The superpartners have exotic properties that are not possible in a theory with exact Lorentz symmetry and microcausality. For example, the bosonic sfermions have spin 1/2 and the fermionic gauginos have spin 1. The theory is based on a p...

Lorentz-violating Electromagnetostatics

In this talk, the stationary limit of Lorentz-violating electrodynamics is discussed. As illustrated by some simple examples, the general solution includes unconven-tional mixing of electrostatic and magnetostatic effects. I discuss a high-sensitivity null-type measurement, exploiting Lorentz-violating electromagnetostatic effects, that could improve existing limits on parity-odd coefficients f...

Lorentz-violating Gravitoelectromagnetism

Particles and Propagators in Lorentz-violating Supergravity

Any violation of Lorentz invariance must be extremely small for ordinary matter under ordinary conditions. However, in Lorentz-violating supergravity there is Lorentz violation for both Standard Model particles at very high energy and their supersymmetric partners at even relatively low energy. Here we obtain the propagators for the fermions and sfermions of this theory, with the prefix “s” sta...