Chiral fermions and anomaly cancellation on orbifolds with Wilson lines and flux

Abstract

We consider six-dimensional supergravity compactified on orbifolds with Wilson lines and bulk flux. Torus Wilson lines are decomposed into Wilson lines around the orbifold fixed points, and twisted boundary conditions of matter fields are related to fractional localized flux. Both, orbifold singularities and flux lead to chiral fermions in four dimensions. We show that in addition to the standard bulk and fixed point anomalies the Green-Schwarz term also cancels the four-dimensional anomaly induced by the flux background. The two axions contained in the antisymmetric tensor field both contribute to the cancellation of the four-dimensional anomaly and the generation of a vector boson mass via the Stueckelberg mechanism. An orthogonal linear combination of the axions remains massless and couples to the gauge field in the standard way. Furthermore, we construct convenient expressions for the wave functions of the zero modes and relate their multiplicity and behavior at the fixed points to the bulk flux quanta and the Wilson lines.

30 pages, 4 figures, 1 table, clarifying remarks added

References in corpus (5)

• $Z_N$ twisted orbifold models with magnetic flux
• Multiple anomalous U(1)s in heterotic blow-ups
• Local SU(5) Unification from the Heterotic String
• Flux Stabilization in 6 Dimensions: D-terms and Loop Corrections
• Enhanced Symmetries of Orbifolds from Moduli Stabilization

Cited by in corpus (18)

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• Flavour physics without flavour symmetries
• Zero-mode counting formula and zeros in orbifold compactifications
• Brane-localized masses in magnetic compactifications
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• de Sitter vacua from an anomalous gauge symmetry
• Remark on modular weights in low-energy effective field theory from type II string theory
• Index theorem on $T^2/{\mathbb{Z}}_N$ orbifolds
• Magnetized orbifolds and localized flux
• Modular symmetry and zeros in magnetic compactifications
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• de Sitter vacua and supersymmetry breaking in six-dimensional flux compactifications
• Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms
• Effects of localized μ-terms at the fixed points in magnetized orbifold models
• Wavefunctions on $S^2$ with flux and branes