Realisation of a Lorentz algebra in Lorentz violating theory

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

Sfermions and Gauginos in a Lorentz-violating Theory

In Lorentz-violating supergravity, sfermions have spin 1/2 and other unusual properties. If the dark matter consists of such particles, there is a natural explanation for the apparent absence of cusps and other small scale structure: The Lorentzviolating dark matter is cold because of the large particle mass, but still moves at nearly the speed of light. Although the R-parity of a sfermion, gau...

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...