On the Exceptional Gauged WZW Theories

We consider two different versions of gauged WZW theories with the exceptional groups and gauged with any of theirs null subgroups. By constructing suitable automorphism, we establish the equivalence of these two theories. On the other hand our automorphism, relates the two dual irreducible Riemannian globally symmetric spaces with different characters based on the corresponding exceptional Lie groups.Comment: 5 pages, LaTeX fil

Maximal representation dimension of finite p-groups

The representation dimension of a finite group G is the smallest positive integer m for which there exists an embedding of G in GL_m(C). In this paper we find the largest value of representation dimensions, as Granges over all groups of order p^n, for a fixed prime p and a fixed exponent n greater than zero.Comment: The latest version of the article including modifications recommended by the refere

Peanut hull flour as dietary fiber in whole wheat bread

Peanut hull flour (PHF) was substituted for 0, 4, and 8% of the wheat flour in a formulation for whole wheat bread. Carboxymethyl cellulose and wheat gluten were added to all treatments to produce loaves with volume comparable to that of bread made with white wheat flour. The bread was produced, baked, and tested to determine the effect of PHF on some of its chemical components, physical characteristics, and organoleptic attributes. Bread with 8% PHF had a higher and bread with 4% had a lower Hardness value than bread with 0% PHF. As the length of storage time was increased, hardness of the bread increased. Addition of PHF affected cohesiveness but not elasticity of the bread. However, both properties of the bread decreased as the period of storage was extended to 6 days. The presence of PHF caused a darkening of the outer crust and the crumb of the bread. Bread with 8% PHF was darker than bread with 4% PHF. The crumb was lighter than the crust of bread containing a given percentage of PHF. Bread with 4% PHF had a higher loaf volume than bread with 0% PHF, while bread with 8% PHF had a lower loaf volume. As the level of PHF was increased, the amount of moisture, ash, crude fiber, and neutral detergent fiber was increased. On the other hand, the amount of crude protein, ether extract, and carbohydrate was decreased as the percentages of PHF was increased. Aflatoxins were not detected in the PHF. The sensory panel indicated that the presence of PHF affected some of the quality attributes of the bread. When the panel compared samples of bread with the three levels of PHF content to an imaginary loaf of ideal whole grain bread, the following general findings were apparent. In relation to the ideal bread, PHF at one or more levels caused the bread to possess a less smooth surface, have decreased moistness and graininess, exhibit a softer crumb, and be less preferred. Likewise, PHF at one or more levels caused the bread to be more gritty and sticky and have a harder crust than the ideal loaf. PHF does seem to have potential as a source of dietary fiber when added to whole wheat bread. A 4% level of PHF should yield bread with more acceptable physical attributes than an 8% level of PHF. However, the panel indicated samples of bread with 4 and 8% PHF level were not different from each other when compared with an ideal loaf of whole grain bread

Log-Euclidean Bag of Words for Human Action Recognition

Representing videos by densely extracted local space-time features has recently become a popular approach for analysing actions. In this paper, we tackle the problem of categorising human actions by devising Bag of Words (BoW) models based on covariance matrices of spatio-temporal features, with the features formed from histograms of optical flow. Since covariance matrices form a special type of Riemannian manifold, the space of Symmetric Positive Definite (SPD) matrices, non-Euclidean geometry should be taken into account while discriminating between covariance matrices. To this end, we propose to embed SPD manifolds to Euclidean spaces via a diffeomorphism and extend the BoW approach to its Riemannian version. The proposed BoW approach takes into account the manifold geometry of SPD matrices during the generation of the codebook and histograms. Experiments on challenging human action datasets show that the proposed method obtains notable improvements in discrimination accuracy, in comparison to several state-of-the-art methods

Symmetry-enhanced supertransfer of delocalized quantum states

Coherent hopping of excitation rely on quantum coherence over physically extended states. In this work, we consider simple models to examine the effect of symmetries of delocalized multi-excitation states on the dynamical timescales, including hopping rates, radiative decay, and environmental interactions. While the decoherence (pure dephasing) rate of an extended state over N sites is comparable to that of a non-extended state, superradiance leads to a factor of N enhancement in decay and absorption rates. In addition to superradiance, we illustrate how the multi-excitonic states exhibit `supertransfer' in the far-field regime: hopping from a symmetrized state over N sites to a symmetrized state over M sites at a rate proportional to MN. We argue that such symmetries could play an operational role in physical systems based on the competition between symmetry-enhanced interactions and localized inhomogeneities and environmental interactions that destroy symmetry. As an example, we propose that supertransfer and coherent hopping play a role in recent observations of anomolously long diffusion lengths in nano-engineered assembly of light-harvesting complexes.Comment: 6 page