Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds

Abstract

We consider supersymmetric non-Abelian gauge theories coupled to hyper multiplets on five and six dimensional orbifolds, S^1/Z_2 and T^2/Z_N, respectively. We compute the bulk and local fixed point renormalizations of the gauge couplings. To this end we extend supergraph techniques to these orbifolds by defining orbifold compatible delta functions. We develop their properties in detail. To cancel the bulk one-loop divergences the bulk gauge kinetic terms and dimension six higher derivative operators are required. The gauge couplings renormalize at the Z_N fixed points due to vector multiplet self interactions; the hyper multiplet renormalizes only non-Z_2 fixed points. In 6D the Wess-Zumino-Witten term and a higher derivative analogue have to renormalize in the bulk as well to preserve 6D gauge invariance.

References in corpus (1)

• 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields

Cited by in corpus (8)

• Supersymmetric Models with Higher Dimensional Operators
• Living with Ghosts and their Radiative Corrections
• Higher derivatives and brane-localised kinetic terms in gauge theories on orbifolds
• Multi-Higgs Mass Spectrum in Gauge-Higgs Unification
• Gauge Coupling Unification in a 6D SO(10) Orbifold GUT
• Higher dimensional operators and their effects in (non)supersymmetric models
• Effective operators in SUSY, superfield constraints and searches for a UV completion
• Threshold effects near the compactification scale for gauge couplings on orbifolds