The interaction between Chern-Simons (CS) theories and localized external sources (2pbranes) is analyzed. The generally covariant, gauge-invariant and background independent interactions generalize the minimal coupling between a point charge (0-brane) and a gauge connection. The branes define covariantly conserved external currents which couple to CS forms of the same dimension. The general exp...

We propose a modification of the Faddeev-Popov procedure to construct a path integral representation for the transition amplitude and the partition function for gauge theories whose orbit space has a non-Euclidean geometry. Our approach is based on the Kato-Trotter product formula modified appropriately to incorporate the gauge invariance condition, and thereby equivalence to the Dirac operator...

We consider various constraints on Higgsless models of electroweak symmetry breaking based on a bulk SU(2)L×SU(2)R×U(1)B−L gauge group in warped space. First we show that the S parameter which is positive if fermions are localized on the Planck brane can be lowered (or made vanishing) by changing the localization of the light fermions. If the wave function of the light fermions is almost flat t...

We examine a warped Higgsless SU(2)L × SU(2)R × U(1)B−L model in 5–d with IR(TeV)–brane kinetic terms. It is shown that adding a brane term for the U(1)B−L gauge field does not affect the scale (∼ 2 − 3 TeV) where perturbative unitarity in W L W − L → W L W− L is violated. This term could, however, enhance the agreement of the model with the precision electroweak data. In contrast, the inclusio...

We present the bundle (Aff(3) ⊗ C ⊗ Λ)(R3), with a geometric Dirac equation on it, as a three-dimensional geometric interpretation of the SM fermions. Each (C⊗ Λ)(R3) describes an electroweak doublet. The Dirac equation has a doubler-free staggered spatial discretization on the lattice space (Aff(3)⊗C)(Z3). This space allows a simple physical interpretation as a phase space of a lattice of cell...