Nonperturbative Tests of the Parent/Orbifold Correspondence in Supersymmetric Gauge Theories

Details Nonperturbative Tests of the Parent/Orbifold Correspondence in Supersymmetric Gauge Theories Nonperturbative Tests of the Parent/Orbifold Correspondence in Supersymmetric Gauge Theories

1998-08-05

arxiv.org/abs/hep-th/9808026v1

JHEP 0212 (2002) 047

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 figures

Scientific paper

10.1088/1126-6708/2002/12/047

It has been shown that a procedure analogous to orbifolding in string theory, when applied to certain large N field theories, leaves correlators invariant perturbatively. We test nonperturbative agreement of some aspects of the orbifolded and non-orbifolded theories. More specifically, we find that the period matrices of parent and orbifolded Seiberg-Witten theories are related, even away from the 't Hooft limit. We also check that any large N theory which has an infrared conformal fixed point and satisfies certain anomaly positivity constraints required by theories with fixed points will continue to satisfy those constraints after orbifolding. We discuss extensions of these results to finite N.

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