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We consider discretized gravity in six dimensions. where the two extra dimensions have been compactified on a hyperbolic disk of constant curvature. We analyze different realizations of lattice gravity on the disk at the level of an effective field theory for massive gravitons. It is shown that the observed strong coupling scale of lattice gravity in discretized five-dimensional flat or warped space can be increased if the latticized fifth dimension is wrapped around a hyperbolic disk that has a non-trivial warp factor. As an application, we also study the generation of naturally small Dirac neutrino masses via a discrete volume suppression mechanism and discuss briefly collider implications of our model., QC 20100716. Uppdaterad från In press till Published 20100716.

We propose a supersymmetric SU(5)xSU(5) model, where the quarks and leptons live in a U(1) product group theory space that is compactified on the real projective plane RP^2. The fermion generations are placed on different points in the deconstructed manifold by assigning them SO(10) compatible U(1) charges. The observed masses and mixing angles of quarks and leptons emerge from non-renormalizable operators involving the chiral link fields. The link fields introduce a large atmospheric neutrino mixing angle \theta_23 via a dynamical realization of the seesaw mechanism, which sets the deconstruction scale to a value of the order the B-L breaking scale 10^14 GeV. Supersymmetry breaking can be achieved through topological effects due to a non-trivial homology group Z_2. The mixed anomalies of the link fields are canceled by Wess-Zumino terms, which are local polynomials in the gauge and link fields only. We also comment on the construction of Chern-Simons couplings from these fields., Comment: 22 pages, 2 figures, typos in neutrino mass squared differences corrected

We propose a supersymmetric SU(5)xSU(5) model, where the quarks and leptons live in a U(1) product group theory space that is compactified on the real projective plane RP^2. The fermion generations are placed on different points in the deconstructed manifold by assigning them SO(10) compatible U(1) charges. The observed masses and mixing angles of quarks and leptons emerge from non-renormalizable operators involving the chiral link fields. The link fields introduce a large atmospheric neutrino mixing angle \theta_23 via a dynamical realization of the seesaw mechanism, which sets the deconstruction scale to a value of the order the B-L breaking scale 10^14 GeV. Supersymmetry breaking can be achieved through topological effects due to a non-trivial homology group Z_2. The mixed anomalies of the link fields are canceled by Wess-Zumino terms, which are local polynomials in the gauge and link fields only. We also comment on the construction of Chern-Simons couplings from these fields., Comment: 22 pages, 2 figures, typos in neutrino mass squared differences corrected

We present a 6D Higgsless Standard Model with a realistic gauge sector. The model uses only the Standard Model gauge group SU(2)xU(1) with the gauge bosons propagating in flat extra dimensions which are compactified on a rectangle. The electroweak symmetry is broken by boundary conditions, and the correct splitting between the W and Z boson masses can be arranged by a suitable choice of the compactification scales. The higher Kaluza-Klein excitations of the gauge bosons decouple from the low-energy theory due to dominant brane kinetic terms. The model has the following two key features compared to 5D models. The bulk kinetic couplings, responsible for electroweak symmetry breaking using mixed boundary conditions, are of order the electroweak scale. Moreover, the agreement with the precision electroweak parameters is improved compared to 5D warped or flat models. We also argue that the calculability of Higgsless models can be ameliorated in more than five dimensions., Comment: 15 pages, 3 figures, discussion of fermion masses added, comment on scalar degrees of freedom included, references added

We present a 6D Higgsless Standard Model with a realistic gauge sector. The model uses only the Standard Model gauge group SU(2)xU(1) with the gauge bosons propagating in flat extra dimensions which are compactified on a rectangle. The electroweak symmetry is broken by boundary conditions, and the correct splitting between the W and Z boson masses can be arranged by a suitable choice of the compactification scales. The higher Kaluza-Klein excitations of the gauge bosons decouple from the low-energy theory due to dominant brane kinetic terms. The model has the following two key features compared to 5D models. The bulk kinetic couplings, responsible for electroweak symmetry breaking using mixed boundary conditions, are of order the electroweak scale. Moreover, the agreement with the precision electroweak parameters is improved compared to 5D warped or flat models. We also argue that the calculability of Higgsless models can be ameliorated in more than five dimensions., Comment: 15 pages, 3 figures, discussion of fermion masses added, comment on scalar degrees of freedom included, references added