We generalize the Maldacena correspondence to the logarithmic conformal field theories. We study the correspondence between field theories in (d+1)-dimensional AdS space and the d-dimensional logarithmic conformal field theories in the boundary of AdSd+1. Using this correspondence, we get the n-point functions of the corresponding logarithmic conformal field theory in d-dimensions.

Many medical imaging applications require the computation of dense correspondence vector fields that match one surface with another. To avoid the need for a large set of manually-defined landmarks to constrain these surface correspondences, we developed an algorithm to automate the matching of surface features. It extends the mutual information method to automatically match general 3D surfaces ...

Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector field, the (n/2 − 1)-form is used. The two-point functions and the higher-spin central charges are evaluated at one loop. As an application, the higher-spin hie...

Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector field, the (n/2 − 1)-form is used. The two-point functions and the higher-spin central charges are evaluated at one loop. As an application, the higher-spin hie...

The conventional model of the gauge vector field is invariant under local conformal symmetry only in four-dimensional space ($4d$). Conformal generalization to an arbitrary dimension $d$ impossible even for free theory, differently from scalar and fermion fields. We discuss how overcome this restriction eventually construct four actions. One these models particular case previously known theory ...

The so-called ‘soldering’ procedure performed by A.M. Polyakov in [1] for a SL(2,R)gauge theory is geometrically explained in terms of a Cartan connection on second order frames of the projective space RP. The relationship between a Cartan connection and the usual (Ehresmann) connection on a principal bundle allows to gain an appropriate insight into the derivation of the genuine ‘diffeomorphis...