In this brief review, I summarize the new development on the correspondence between noncommuative (NC) field theory and gravity, shortly referred to as the NCFT/Gravity correspondence. I elucidate why a gauge theory in NC spacetime should be a theory of gravity. A basic reason for the NCFT/Gravity correspondence is that the Λ-symmetry (or B-field transformations) in NC spacetime can be consider...

We review the unitarity bounds and the multiplet shortening of UIR's of 4 dimensional su-perconformal algebras SU (2, 2|N), (N = 1, 2, 4) in view of their dual role in the AdS/SCFT correspondence. Some applications to KK spectra, non-perturbative states and stringy states are given.

A free Rarita-Schwinger eld in the Anti-de Sitter space is considered. We show that the usual action can be supplemented by a boundary term that can be interpreted as the generating functional of the correlation functions in a conformal eld theory on the boundary of the Anti-de Sitter space. On leave from Moscow State University and L. D. Landau Institute for Theoretical Physics, Moscow, Russia.

We address the problem of describing different closed string backgrounds in background independent open string field theory: A shift in the closed string background corresponds to a collective excitation of open strings. As an illustration we apply the formalism to the case where the closed string background is a group manifold.

We use the Jack symmetric functions as a basis of the Fock space, and study the action of the Virasoro generators Ln. We calculate explicitly the matrix elements of Ln with respect to the Jack-basis. A combinatorial procedure which produces these matrix elements is conjectured. As a limiting case of the formula, we obtain a Pieri-type formula which represents a product of a power sum and a Jack...

Estimation of depth within an imaged scene can be formulated as a stereo correspondence problem. Typical software approaches tend to be too slow for real time performance on high frame rate (≥ 30fps) stereo acquisition systems. Hardware implementations of these same algorithms allow for parallelization, providing a marked improvement in performance. This paper will explore one such hardware imp...

The complete solution to the massive Rarita-Schwinger field equation in anti-de Sitter space is constructed, and used in the AdS/CFT correspondence to calculate the correlators for the boundary conformal field theory. It is found that when no condition is imposed on the field solution, there appear two different boundary conformal field operators, one coupling to a Rarita-Schwinger field and th...

where M̂t→s(ut ) := Bt (ut ) − Ms→t (ut ) is called the pre-message from t to s. Note that the pre-message is a function of ut . In our implementation, we pull messages from nodes, rather than pushing them, which means that the message Mt→s(us) is pulled and calculated when the algorithm is updating node s, for all neighbours t. Consequently, since the pre-message M̂t→s(ut ) is a function of ut o...

The properties of dynamical Dark Energy (DE) and, in particular, the possibility that it can form or contribute to stable inhomogeneities, have been widely debated in recent literature, also in association to a possible coupling between DE and Dark Matter (DM). In order to clarify this issue, in this paper we present a general framework for the study of the nonlinear phases of structure formati...