Orbifold resolutions and fermion localization

Abstract

We study the Dirac equation of chiral fermions on a regularized version of the two-dimensional T^2/Z_2 orbifold, where the conical singularities are replaced by suitable spherical caps with constant curvature. This study shows how localized and bulk fermions arise in the orbifold as the resolved space approaches the orbifold limit. Our analysis also shows that not all possible fermion configurations on T^2/Z_2 admit such a simple resolution. We focus our study to a fermion coupled to a U(1) gauge field. It is explicitly shown how a resolution of the orbifold puts severe constraints on the allowed chiralities and U(1) charges of the massless four dimensional fermions, localized or not, that can be present in the orbifold. The limit in which T^2/Z_2 (and its corresponding resolved space) collapses to S^1/Z_2 is also studied in detail.

37 pages, 5 figures; v2: minor improvements and references added

References in corpus (39)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Gauge Unification in Higher Dimensions
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• Localization of Matter and Cosmological Constant on a Brane in Anti de Sitter Space
• SU(5) Grand Unification in Extra Dimensions and Proton Decay
• A Minimal S^1/(Z_2 x Z_2') Orbifold GUT
• Dynamical supersymmetry breaking with a large internal dimension
• Supersymmetry and Electroweak breaking from extra dimensions at the TeV-scale
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• A Constrained Standard Model from a Compact Extra Dimension
• K3 Surfaces and String Duality
• Standard Model Higgs from Higher Dimensional Gauge Fields
• Localization of Matters on a String-like Defect
• Soft Masses in Theories with Supersymmetry Breaking by TeV-Compactification
• The Structure of GUT Breaking by Orbifolding
• Split Multiplets, Coupling Unification and Extra Dimension
• Fermion zero-modes on brane-worlds
• Localisation of massive fermions on the brane
• Scalar kinks and fermion localisation in warped spacetimes
• Anomalies in orbifold field theories
• Anomalies, Fayet-Iliopoulos terms and the consistency of orbifold field theories
• Gauge-Higgs Unification in Orbifold Models
• Field localization in warped gauge theories
• Gauge corrections and FI-term in 5D KK theories
• Instabilities of bulk fields and anomalies on orbifolds
• Anomalies in field theories with extra dimensions
• Spontaneous localization of bulk fields: the six-dimensional case
• Spontaneous localization of bulk matter fields
• Radiative brane-mass terms in D>5 orbifold gauge theories
• Group-Theoretical Aspects of Orbifold and Conifold GUTs
• Higgs-gauge unification without tadpoles
• QED from six-dimensional vortex and gauge anomalies
• Bulk phantom fields, increasing warp factors and fermion localisation
• Localisation of Fermions to brane: Codimension $d\ge 2$

Cited by in corpus (7)

• A Model of Electroweak Symmetry Breaking from a Fifth Dimension
• Resolutions of C^n/Z_n Orbifolds, their U(1) Bundles, and Applications to String Model Building
• Effective description of brane terms in extra dimensions
• The Higgs boson as a gauge field in extra dimensions
• Anomalies on Six Dimensional Orbifolds
• Orbifold resolutions with general profile
• Non trivial spacetime effects in a supersymmetric model