Singular gauge transformations and supersymmetry breakdown on warped orbifolds

TL;DR

This paper investigates how supersymmetry can be broken or preserved in warped orbifold models by analyzing gauge transformations and boundary conditions, with implications for Randall-Sundrum scenarios.

Contribution

It demonstrates the conditions under which supersymmetry is broken or maintained in warped orbifolds with gauge symmetry considerations.

Findings

Supersymmetry breaks when the fifth component of the graviphoton has a non-zero expectation value.

Boundary terms can break gauge symmetry, leading to supersymmetry breakdown.

In Randall-Sundrum models, supersymmetry remains intact and can be gauged away.

Abstract

We have analyzed the breakdown of global supersymmetry by a non-vanishing expectation value of the fifth component of the graviphoton on warped S^1/Z_2 orbifolds. It has been demonstrated that the setups where such a breakdown is possible correspond to the models where the true gauge symmetry on the orbifold, respecting the Z_2-parities and periodicity, is broken by boundary terms. In the tuned models, giving Randall-Sundrum warp factor, gauge symmetry stays intact, and any <A_5> can be gauged away without violating supersymmetry.