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Nonperturbative tests of the parent/orbifold correspondence in supersymmetric gauge theories

1998/08/05 by Joshua Erlich, J. Erlich, Asad Naqvi +1 · 16 citations
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Field (mathematics) #Fixed point #Gauge (firearms) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Orbifold #String (physics) #String theory #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/12/047

published in Journal of High Energy Physics 2002(12), 047 (Springer Nature) · 19 pages, 4 figures

arxiv created 1998/08/05 · openalex publication_date 2002/12/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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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