Abstract- In this article, the design of conformal antennas has been discussed using the characteristic modes (CM) method. For this purpose, the vector wave function(VWF) has been utilized to achieve a two-dimensional mapping of the conformal antenna. In designing and analyzing of cone-shaped antennas applicable for multi-input multi-output (MIMO) systems, the most important goal is to achieve ...

We show that the scalar curvature of a Riemannian manifold $M$ is constant if it satisfies (i) concircular field equation and compact, (ii) special equation. Finally, we that, complete connected admits non-isometric vector leaving invariant, conformal function concircular, then constant.

Weyl's spaces with shear-free and expansion-free conformal Killing vectors and the motion of a free spinless test particle. Abstract Conditions for the existence of shear-free and expansion-free non-null vector fields in spaces with affine connections and metrics are found. On their basis Weyl's spaces with shear-free and expansion-free conformal Killing vectors are considered. The necessary an...

Representations of braid group obtained from rational conformal field theories can be used to obtain explicit representations of Temperley-Lieb-Jones algebras. The method is described in detail for SU(2) k Wess-Zumino conformal field theories and its generalization to an arbitrary rational conformal field theory outlined. Explicit definition of an associated linear trace operation in terms of a...

We consider a five-dimensional constant curvature black hole, which is constructed by identifying some points along a Killing vector in a five-dimensional AdS space. The black hole has the topology M4 × S, its exterior is not static and its boundary metric is of the form of a three-dimensional de Sitter space times a circle, which means that the dual conformal field theory resides on a dynamica...

Definition 2. AFrobenius structure on a manifold H is a Frobenius structure on each tangent space TtH such that (1) The metric <,> is flat (∇ = 0) (2) The vector field 1 is covariantly constant (∇1 = 0) (3) The system of PDE’s ~∇ws = w ◦ s is integrable ∀~ 6= 0, where w and s are vector fields and ◦ denotes the Frobenius multiplication. In ∇-flat coordinates {t}, this means that the family of c...

A new 8-dimensional conformal gauging avoids the unphysical size change, third order gravitational field equations, and auxiliary fields that prevent taking the conformal group as a fundamental symmetry. We give the structure equations, gauge transformations and intrinsic metric structure for the new biconformal spaces. We prove that a torsion-free biconformal space with exact Weyl form, closed...

We discuss the properties of four-point functions in the context of the correspondence between a classical supergravity theory in the bulk of the Anti de Sitter (AdS) space and quantum conformal field theory (CFT) at the boundary. The contribution to a four-point function from the exchange of a scalar field of arbitrary mass in AdS space is explicitly identified with that of the corresponding o...