Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds

Details Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds

2006-02-16

arxiv.org/abs/hep-th/0602155v1

Nucl.Phys.B748:60-97,2006

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/j.nuclphysb.2006.04.024

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.

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