Renormalization of Supersymmetric Gauge Theories on Orbifolds: Brane Gauge Couplings and Higher Derivative Operators
Phys.Lett.B616:125-134,2005 We consider supersymmetric gauge theories coupled to hyper multiplets on five and six dimensional orbifolds and determine the bulk and local fixed point renormalizations of the gauge couplings. We infer from a component analysis that the hyper multiplet does not induce re...
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Zusammenfassung: | Phys.Lett.B616:125-134,2005 We consider supersymmetric gauge theories coupled to hyper multiplets on five
and six dimensional orbifolds and determine the bulk and local fixed point
renormalizations of the gauge couplings. We infer from a component analysis
that the hyper multiplet does not induce renormalization of the brane gauge
couplings on the five dimensional orbifold S^1/Z_2. This is not due to
supersymmetry, since the bosonic and fermionic contributions cancel separately.
We extend this investigation to T^2/Z_N orbifolds using supergraph techniques
in six dimensions. On general Z_N orbifolds the gauge couplings do renormalize
at the fixed points, except for the Z_2 fixed points of an even ordered
orbifold. To cancel the bulk one-loop divergences a dimension six higher
derivative operator is needed, in addition to the standard bulk gauge kinetic
term. |
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DOI: | 10.48550/arxiv.hep-th/0503153 |