Topics in Nonlinear Sigma Models in D=3

Nonlinear sigma models (NLSM) in d=3 have many interesting and non-trivial features, which were explored poorly in contrast with NLSM in d=2 and d=4. We present a few results from our study of the perturbative and non-perturbative properties of three-dimensional (3D) NLSM. i) We have shown that cancellation of ultra-violet (UV) divergences takes place in 3D extended (N=2,4) supersymmetric NLSM in low orders of the 1/n expansion. ii) We consider noncommutative extension of the 3D CP(n) model, and study low-energy dynamics of BPS solitons in this model. We also discuss briefly dynamics of non-BPS solutions.Comment: 19 pages, 2 figures; v2 minor changes, references added, Contributed talk given at: Workshop on Integrable Theories, Solitons and Duality, Sao Paulo, Brazil, 1-6 Jul 200

Vanishing Next-to-Leading Corrections to the \beta-Function of the SUSY CP^{N-1} Model in Three Dimensions

We study the ultraviolet properties of the supersymmetric CP^{N-1} sigma model in three dimensions to next-to-leading order in the 1/N expansion. We calculate the \beta-function to this order and verify that it has no next-to-leading order corrections.Comment: 8 pages, 1 figure, the renormalization constant of the field alpha is correcte

Deformed Type 0A Matrix Model and Super-Liouville Theory for Fermionic Black Holes

We consider a ${\hat c}=1$ model in the fermionic black hole background. For this purpose we consider a model which contains both the N=1 and the N=2 super-Liouville interactions. We propose that this model is dual to a recently proposed type 0A matrix quantum mechanics model with vortex deformations. We support our conjecture by showing that non-perturbative corrections to the free energy computed by both the matrix model and the super-Liouville theories agree exactly by treating the N=2 interaction as a small perturbation. We also show that a two-point function on sphere calculated from the deformed type 0A matrix model is consistent with that of the N=2 super-Liouville theory when the N=1 interaction becomes small. This duality between the matrix model and super-Liouville theories leads to a conjecture for arbitrary $n$-point correlation functions of the N=1 super-Liouville theory on the sphere.Comment: 18 pages, no figur

Radiochemical studies on transuranium elements in the environment

Thesis--University of Tsukuba, D.Sc.(B), no. 311, 1986. 3. 2

Insecticidal Activity and Properties of TIA-230 (Pyraclofos)

TIA-230 (pyraclofos*), O-[1(4-chlorophenyl)-4-pyrazolyl]o-ethyl S-propyl phosphorothiolate showed high insecticidal activity against the Lepidopterous, Coleopterous, Hemipterous, and Dipterous insect pests, such as Spodoptera litura, Mamestra brassiase, Pseudaletia separata, Plutella xylostella, Pieris rapae, Adoxophyes orana, Chilo suppressalis, Aulacophora femoralis, Phyllotreta striolata, Phaedon brassicae, Henosepilachna vigintioctopunctata, Lissorhoptrus orizophilus, Aphis gossypii, Aphis glycines, Myzus persicae, Hyalopterus pruni, Musca domestica and Culex pipiens molestus. The compound also showed a high acaricidal activity against Tetranychus urticae, Tetranychus kanzawai and Rhizoglyphus echinopus and showed a high nematicidal activity against Meloidogyne incognita. Residual activity by foliar spray of TIA-230 was shown to be higher than those of prothiophos, acephate, methomyl, demethylvinphos, chlorpyrifos-methl, dicofol, fenbutatin oxide and cyhexatin. In field tests, the sprays of 0.017% and 0.035% solution of TIA-230 (wettable powder) were highly effective in controlling the damage to cabbage by Spodoptera litura, Mamestra Brassiase, Plutella xylostella, Pieris rapae and Myzus persicae.Originating text in Japanese.Citation: Sato, Yasuo, Kono, Yoshiaki, Nagano, Masayoshi, Manabe, Yukiaki, Oguchi, Hiroaki, Yamamoto, Yasuhiro. (1985). Insecticidal Activity and Properties of TIA-230 (Pyraclofos). Journal of the Takeda Research Laboratories, 44(42433), 255-266

Composition analysis of sinking particles by using gel sediment traps in the Indian sector of the Southern Ocean during austral summer

The Tenth Symposium on Polar Science/Ordinary sessions : [OB] Polar Biology, Wed. 4 Dec. / Entrance Hall (1st floor) , National Institute of Polar Researc

Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions

We find non-BPS solutions of the noncommutative CP^1 model in 2+1 dimensions. These solutions correspond to soliton anti-soliton configurations. We show that the one-soliton one-anti-soliton solution is unstable when the distance between the soliton and the anti-soliton is small. We also construct time-dependent solutions and other types of solutions.Comment: 11 pages, minor correction

Cancellation of UV Divergences in the N=4 SUSY Nonlinear Sigma Model in Three Dimensions

We study the UV properties of the three-dimensional ${\cal N}=4$ SUSY nonlinear sigma model whose target space is $T^*(CP^{N-1})$ (the cotangent bundle of $CP^{N-1}$) to higher orders in the 1/N expansion. We calculate the $\beta$-function to next-to-leading order and verify that it has no quantum corrections at leading and next-to-leading orders.Comment: 10 pages, 2 figures. references adde