A Solvable Model for Fermion Masses on a Warped 6D World with the Extra 2D Sphere

Abstract

In a warped 6D world with an extra 2-dimensional sphere, we propose an exactly solvable model for fermion masses with zero mode. The warp factor is given by $\varphi (\theta ,\phi )=\sin \theta \cos \phi$, which is a solution to the 6D Einstein equation with the bulk cosmological constant $\Lambda$ and the energy-momentum tensor of the bulk matter fields. Our model provides another possibility of obtaining fermion zero mode, rather than traditional model based on Dirac's monopole.

arXiv comment13 pages, no figure. arXiv admin note: substantial text overlap with arXiv:1401.3499

References in corpus (14)

• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• Gauge Fields, Fermions and Mass Gaps in 6D Brane Worlds
• Fermions on spontaneously generated spherical extra dimensions
• Brane in 6D with increasing gravitational trapping potential
• Living on the edge in a spacetime with multiple warping
• Fermion States on the Sphere $S^2$
• Fermion generations, masses and mixings in a 6D brane model
• Gravitational Localization of All Local Fields on the Brane
• Fermion Families from Two Layer Warped Extra Dimensions
• Chiral fermions in a spacetime with multiple warping
• Bulk Higgs and Gauge fields in a multiply warped braneworld model
• Running with Rugby Balls: Bulk Renormalization of Codimension-2 Branes
• Bulk scalar field in warped extra dimensional models
• About Fermion Hierarchies from Warped Extra Dimensions

Cited by in corpus (2)

• Cosmological baryon/lepton asymmetry in terms of Kaluza-Klein extra dimensions
• Gravity in a warped 6D world with an extra 2D sphere