Wavefunctions on $S^2$ with flux and branes

Abstract

We formulate a six dimensional $U(1)$ gauge theory compactified on a (two dimensional) sphere $S^2$ with flux and localized brane sources. Profiles of the lowest Kaluza-Klein (KK) wavefunctions and their masses are derived analytically. In contrast to ordinary sphere compactifications, the above setup can lead to the degeneracy of and the sharp localizations of the linearly independent lowest KK modes, depending on the number of branes and their tensions. Moreover, it can naturally accommodate CP violation in Yukawa interactions.

arXiv comment31 pages, 7 figures

References in corpus (35)

• Hierarchies without Symmetries from Extra Dimensions
• Fermion Masses, Mixings and Proton Decay in a Randall-Sundrum Model
• Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
• The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories
• Computing Yukawa Couplings from Magnetized Extra Dimensions
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• 3-Branes and Uniqueness of the Salam-Sezgin Vacuum
• Supersymmetry Breaking, Fermion Masses and a Small Extra Dimension
• Three generation magnetized orbifold models
• Gauge Fields, Fermions and Mass Gaps in 6D Brane Worlds
• Classification of three-generation models on magnetized orbifolds
• Phenomenological aspects of 10D SYM theory with magnetized extra dimensions
• Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds
• The General Warped Solution with Conical Branes in Six-dimensional Supergravity
• Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes
• Wave Functions and Yukawa Couplings in Local String Compactifications
• CP-violating phase on magnetized toroidal orbifolds
• Split symmetries
• Flavour mixings in flux compactifications
• Effective field theory for magnetic compactifications
• Inflation from periodic extra dimensions
• Flavour physics without flavour symmetries
• Flux compactifications and naturalness
• Chiral fermions and anomaly cancellation on orbifolds with Wilson lines and flux
• Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions
• Wilson lines and UV sensitivity in magnetic compactifications
• On the Decoupling of Heavy Modes in Kaluza-Klein Theories
• Footballs, Conical Singularities and the Liouville Equation
• Flavor landscape of 10D SYM theory with magnetized extra dimensions
• Brane-localized masses in magnetic compactifications
• Magnetized orbifolds and localized flux
• The implication of gauge-Higgs unification to the hierarchical fermion masses
• Homogeneous projective bundles over abelian varieties
• Seesaw mechanism in magnetic compactifications
• Effects of localized μ-terms at the fixed points in magnetized orbifold models

Cited by in corpus (1)

• Three-generation solutions of equations of motion in heterotic supergravity