We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity action in a manner consistent with general covariance. Up to a constant, the anomaly only depends on the dimension d of the manifold on which the conformal field theory is defined. We present concrete ...

In this article a novel mechanism for dynamical electroweak symmetry breaking and the ensuing appearance of fermion mass terms in action is proposed. The contains massless fermions SM coupled to gravity through new type non-minimal coupling vielbein field. corresponding constants our approach become zero-dimension scalar fields. Such fields provide cancellation Weyl anomaly \cite{Boyle:2021jaz}.

determination of boundary surface structures is commonly used for data interpretation. horizontal and vertical derivatives are useful tool for determining the edges boundary. using horizontal and vertical derivative in signal analysis method; that is effective method for interpretation of edges boundary, have been used commercially.in acquisition potential field data, using different methods of...

This paper is devoted to provide a solid mathematical foundation for a promising imaging technique based on the acoustic radiation force, which acts as a dipolar source. From the rigorously established asymptotic expansions of nearand far-field measurements of the transient wave induced by the anomaly, we design asymptotic imaging methods leading to a quantitative estimation of physical and geo...

We argue an ambiguity of the derivation of the Hawking radiation through the gravitational anomaly method and propose modifications of this method such that it reproduces the correct thermal fluxes. In this modified gravitational anomaly method, we employ the two dimensional conformal field theory technique. [email protected]

The appearance of the U(1) anomaly in the interactions of reggeized gluons is described. Also discussed is the crucial role the anomaly can play in providing the non-perturbative properties necessary for a transition from gluon and quark reggeon diagrams to hadron reggeons and a reggeon field theory description of the pomeron.