Large N orbifold field theories on the twisted torus

2005/12/31 by Carlos Hoyos, C. Hoyos
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Field (mathematics) #Geometry #Instanton #Mathematical physics #Mathematics #Moduli space #Orbifold #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Semiclassical physics #Theoretical physics #Torus #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.03.027

published as Nucl.Phys.B744:96-120,2006 · 36 pages, 6 figures; discussion about electric fluxes and vacuum angles added

arxiv created 2006/02/13 · openalex publication_date 2006/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the planar equivalence of orbifold field theories on a small three-torus with twisted boundary conditions, generalizing the analysis of hep-th/0507267. The nonsupersymmetric orbifold models exhibit different large N dynamics from their supersymmetric "parent" counterparts. In particular, a moduli space of Abelian zero modes is lifted by an O(N²) potential in the "daughter" theories. We also find disagreement between the number of discrete vacua of both theories, due to fermionic zero modes in the parent theory, as well as the values of semiclassical tunneling contributions to fermionic correlation functions, induced by fractional instantons.

Citations

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