Small volume expansion of almost supersymmetric large N theories

Abstract

We consider the small-volume dynamics of nonsupersymmetric orbifold and orientifold field theories defined on a three-torus, in a test of the claimed planar equivalence between these models and appropriate supersymmetric ``parent models". We study one-loop effective potentials over the moduli space of flat connections and find that planar equivalence is preserved for suitable averages over the moduli space. On the other hand, strong nonlinear effects produce local violations of planar equivalence at special points of moduli space. In the case of orbifold models, these effects show that the "twisted" sector dominates the low-energy dynamics.

arXiv comment20 pages, 3 figures; added references, minor changes

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Cited by in corpus (12)

• SU(N) gauge theories at large N
• Volume independence in large Nc QCD-like gauge theories
• (In)validity of large N orientifold equivalence
• Phases of $\Nc= \infty$ QCD-like gauge theories on $S^3\times S^1$ and nonperturbative orbifold-orientifold equivalences
• Lattice Study of Planar Equivalence: The Quark Condensate
• A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
• Phase Transitions of Orientifold Gauge Theories at Large N in Finite Volume
• Non-Perturbative Planar Equivalence and the Absence of Closed String Tachyons
• Dynamical Higgs potentials with a landscape
• Center symmetry and the orientifold planar equivalence
• Confinement, Screening and the Center on S^3 x S^1
• Large N orbifold field theories on the twisted torus