Abstract:
By dimensional reduction, Einstein-Hermitian equations of n + 1 dimensional closed Kahler manifolds lead to vortex equations of n dimensional closed Kahler manifolds. A Yang-Mills-Higgs functional to unitary bundles over closed Kahler manifolds has topological invariance by adding the additional terms which have ghost fields. Henceforth we achieve the matter (Higgs field) coupled topological field theories in higher dimension.

Abstract:
The structure of topological quantum field theories on the compact Kahler manifold is interpreted. The BRST transformations of fields are derived from universal bundle and the observables are found from the second Chern class of universal bundle.

Abstract:
The moduli space dynamics of vortices in the Jackiw-Pi model where a non-relativistic Schrodinger field couples minimally to Chern-Simons gauge field, is considered. It is shown that the difficulties in direct application of Manton's method to obtain a moduli-space metric in the first order system can be circumvented by turning the Lagrangian into a second order system. We obtain exact metrics for some simple cases and describe how the vortices respond to an external U(1) field. We then construct an effective Lagrangian describing dynamics of the vortices. In addition, we clarify strong-weak coupling duality between fundamental particles and vortices.

Abstract:
We have constructed a four-fermion theory coupled to a Yang-Mills-Chern-Simons gauge field which admits static multi-vortex solutions. This is achieved through the introduction of an anomalous magnetic interation term in addition to the usual minimal coupling, and the appropriate choice of the fermion quartic coupling constant.

Abstract:
We have constructed nonrelativistic fermion and scalar field theories coupled to a Maxwell-Chern-Simons gauge field which admit static multi-vortex solutions. This is achieved by introducing a magnetic coupling term in addition to the usual minimal coupling.

Abstract:
Frame memory compression (FMC) is a technique to reduce memory bandwidth by compressing the video data to be stored in the frame memory. This paper proposes a new FMC algorithm integrated into an H.264 encoder that compresses a 4×4 block by differential pulse code modulation (DPCM) followed by Golomb-Rice coding. For DPCM, eight scan orders are predefined and the best scan order is selected using the results of H.264 intra prediction. FMC can also be used for other systems that require a frame memory to store images in RGB color space. In the proposed FMC, RGB color space is transformed into another color space, such as YCbCr or G, R-G, B-G color space. The best scan order for DPCM is selected by comparing the efficiency of all scan orders. Experimental results show that the new FMC algorithm in an H.264 encoder achieves 1.34 dB better image quality than a previous MHT-based FMC for HD-size sequences. For systems using RGB color space, the transform to G, R-G, B-G color space makes most efficient compression. The average PSNR values of R, G, and B colors are 46.70 dB, 50.80 dB, and 44.90 dB, respectively, for 768×512-size images.

Abstract:
H.264/AVC adopts aggressive compression algorithms at the cost of increased computational complexity. To speed up the H.264/AVC intraframe coding, this paper proposes two novel techniques: early termination and pipelined execution. In P slices, intra 4 —4 and 16 —16 predictions are early terminated with the threshold determined by the cost of motion estimation. In I slices, intra 4 —4 prediction is early terminated with the threshold derived from intra 16 —16 prediction. The threshold function is chosen as a monotonically decreasing linear function with its optimal coefficients determined by experiments. For the pipelined execution of 4 —4 intrapredictions, the processing order of 4 —4 blocks is changed to reduce the dependencies between consecutively processed blocks. In I slices, computation for 4 —4 intraprediction is reduced by 19 percent with the proposed early termination. In P slices, computations for 4 —4 and 16 —16 intrapredictions are reduced by more than 81 and 91 percents, respectively. The pipelined execution reduces the computation time by 41 percent. In spite of the speed-up by the proposed methods, degradation in rate-distortion performance is negligible. The proposed pipelined execution is integrated with other H.264/AVC hardware accelerators and fabricated as an SoC using Dongbu 0.13 ￠ € ‰ m technology.

Abstract:
In the context of $ISO(2,1)$ gauge theory, we consider $(2+1)$-dimensional gravity with the gravitational Chern-Simons term (CST). This formulation allows the `exact' solution for the system coupled to a massive point particle (which is not the case in the conventional Chern-Simons gravity). The solution exhibits locally trivial structure even with the CST, although still shows globally nontrivialness such as the conical space and the helical time structure. Since the solution is exact, we can say the CST induces spin even for noncritical case of $\s+\al m\ne 0$.

Abstract:
The quantization of the gravitational Chern-Simons coefficient is investigated in the framework of $ISO(2,1)$ gauge gravity. Some paradoxes involved are cured. The resolution is largely based on the inequivalence of $ISO(2,1)$ gauge gravity and the metric formulation. Both the Lorentzian scheme and the Euclidean scheme lead to the coefficient quantization, which means that the induced spin is not quite exotic in this context.

Abstract:
For the `classical' formulation of a massive spinning particle, the propagator is obtained along with the spin factor. We treat the system with two kinds of constraints that were recently shown to be concerned with the reparametrization invariance and `quasi-supersymmetry'. In the path integral, the BRST invariant Lagrangian is used and the same spin factor is obtained as in the pseudo-classical formulation.