Brane-assisted Scherk-Schwarz supersymmetry breaking in orbifolds

TL;DR

This paper investigates how Scherk-Schwarz supersymmetry breaking interacts with localized fermion mass terms on orbifold fixed points, providing analytic solutions and exploring conditions for supersymmetry restoration.

Contribution

It offers new analytic solutions for fermion eigenfunctions and eigenvalues in orbifolds with brane-localized mass terms, and analyzes supersymmetry restoration conditions.

Findings

Analytic solutions for eigenfunctions and eigenvalues are derived.

Supersymmetry can be restored with CP-even brane mass terms.

Cancellation of effects is not possible for CP-odd brane mass terms.

Abstract

We have analyzed the interplay between Scherk-Schwarz supersymmetry breaking and general fermion (gaugino or gravitino) mass terms localized on the fixed point branes of the S^1/Z_2 orbifold. Analytic solutions for eigenfunctions and eigenvalues are found in all cases. All results are checked by numerical calculations that make use of regularized \delta-functions. Odd and generically also even fermions are discontinuous at the brane fixed points, but in all cases the combination that couples to the brane is continuous. For CP-even brane mass terms supersymmetry restoration can take place when their effects are cancelled by those of Scherk-Schwarz compactification. However such a cancellation can not occur for CP-odd brane mass terms.