We present a gauge theory of the conformal group in four spacetime dimensions with non-vanishing torsion. In particular, we allow for completely antisymmetric torsion, equivalent by Hodge duality to an axial vector whose presence does not spoil invariance theory, contrast claims antecedent literature. The requirement implies differential condition (in Killing equation) on aforementioned which l...

Many CFT problems, e.g. ones with global symmetries, have correlation functions a crossing antisymmetric sector. We show that such function can be expanded in terms of manifestly objects, which we call the '+ type Polyakov blocks'. These blocks are built from AdS$_{d+1}$ Witten diagrams. In 1d they encode type' analytic functionals act on functions. general d establish this diagram basis disper...

We investigate the possibility of inflation with models antisymmetric tensor field having minimal and nonminimal couplings to gravity. Although model does not support inflation, models, through introduction a coupling gravity, can give rise stable de-Sitter solutions bound on parameters. The values parameters are sub-planckian. Slow roll analysis is performed slow defined which required number ...

We study nonlinear modes in a subwavelength slot waveguide created by a nonlinear dielectric slab sandwiched between two metals. We present the dispersion diagrams of the families of nonlinear guided modes and reveal that the symmetric mode undergoes the symmetry-breaking bifurcation and becomes primarily localized near one of the interfaces. We also find that the antisymmetric mode may split i...