Casimir effect between moving branes

TL;DR

This paper analyzes the velocity-dependent Casimir effect between moving branes in a supersymmetric five-dimensional model, revealing particle production effects and potential cosmological implications.

Contribution

It introduces a calculation of the vacuum energy-momentum tensor for moving branes in a supersymmetric setup, highlighting velocity-dependent Casimir energies.

Findings

Fermionic and bosonic contributions cancel in static case

Velocity induces a non-zero Casimir energy

Potential cosmological effects discussed

Abstract

We consider a supersymmetric model with a single matter supermultiplet in a five-dimensional space-time with orbifold compactification along the fifth dimension. The boundary conditions on the two orbifold planes are chosen in such a way that supersymmetry remains unbroken on the boundaries. We calculate the vacuum energy-momentum tensor in a configuration in which the boundary branes are moving with constant velocity. The results show that the contribution from fermions cancels that of bosons only in the static limit, but in general a velocity-dependent Casimir energy arises between the branes. We relate this effect to the particle production due to the branes motion and finally we discuss some cosmological consequences.