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Following [6] relating the matrix string theory to the light-cone superstring field theory, we write down two supercharges in the matrix string theory explicitly. After checking the supersymmetry algebra at the leading order, we proceed to discuss higherorder contact terms.

Half-Heusler compound has drawn attention in a variety of fields as a candidate material for thermoelectric energy conversion and spintronics technology. When the half-Heusler compound is incorporated into the device, the control of high lattice thermal conductivity owing to high crystal symmetry is a challenge for the thermal manager of the device. The calculation for the prediction of lattice thermal conductivity is an important physical parameter for controlling the thermal management of the device. We examined whether lattice thermal conductivity prediction by machine learning was possible on the basis of only the atomic information of constituent elements for thermal conductivity calculated by the density functional theory in various half-Heusler compounds. Consequently, we constructed a machine learning model, which can predict the lattice thermal conductivity with high accuracy from the information of only atomic radius and atomic mass of each site in the half-Heusler type crystal structure. Applying our results, the lattice thermal conductivity for an unknown half-Heusler compound can be immediately predicted. In the future, low-cost and short-time development of new functional materials can be realized, leading to breakthroughs in the search of novel functional materials.

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The equilibrium configuration for the core of a (010) screw dislocation in an anthracene crystal was calculated using the atom-atom potential method. It was strongly anisotropic and complicated due to the characteristic shape and dimension of the molecule. The core region did not spread as much as that of a (010)(001) edge dislocation. Its energy was lower than that of the edge dislocation. The Peierls stresses of both the edge and the screw dislocations were estimated by means of gradually increasing an external shear stress; that of the screw dislocation was much larger than that of the edge dislocation.

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