CURRENT-ALGEBRA OF SUPER WZNW MODELS

We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super-affine Lie algebras as expected, but, in general, them are intertwining fields connecting both right and left sectors, analogously to the bosonic case. Moreover, in the present supersymmetric extension we have a quadratic algebra, rather than an affine Lie algebra, due to the mixing between bosonic and fermionic fields; the purely fermionic sector displays an affine Lie algebra as well.

THE ALGEBRA OF NONLOCAL CHARGES IN NONLINEAR SIGMA-MODELS

We obtain the exact classical algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group O(N). As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. We generalize the results for the presence of a Wess-Zumino term. The algebra is very similar to the previous one, now containing a calculable correction of order one unit lower. The relation with Yangians and the role of the results in the context of Lie-Poisson algebras are also discussed.

Álgebras de Lie e aplicações à sistemas alternantes

Pós-graduação em Matemática - IBILCE

Fluxo do grupo de renormalização dos modelos-'alfa' e as álgebras de Lie contínuas

Pós-graduação em Física - IFT

Evaluation of tangerine hybrid resistance to Alternaria alternata

The Alternaria Brown Spot, caused by Alternaria alternata, is a major fungal disease in some kinds of tangerines, tangor, mandarins and pomelos. In Brazil as well as worldwide, A. alternata can cause necrosis in fruits, branches and leaves, causing substantial profit loss. In the present research, in laboratory conditions and in the field, we evaluated the resistance to the fungus, in leaves and fruits, for 22 varieties and hybrids of tangerines. To this end, we evaluated genotypes belonging to the Germplasm Bank of the Estacao Experimental de Citricultura de Bebedouro. The resistant genetic materials (found in leaves and fruits) represented four varieties of clementines (Citrus clementina); six varieties of mandarins (two belonging to C. reticulata, two to C. tangerina, one to C. deliciosa and one to C. nobilis); one tangelo (C. tangerina x C. paradisi); two mandarin hybrids (one resulting from crossing C nobilis x C. deliciosa and the other from crossing C. clementina x C. reticulata); one tangor hybrid (C. clementina) and two satsuma hybrids (C. unshiu x C. deliciosa). We also determined a relation between the inoculation of leaves and fruits. The resistance and susceptibility following inoculation in leaves and fruits supports a relationship between these organs and the physiological responses observed for the evaluated genotypes. (C) 2009 Elsevier B.V. All rights reserved.

Evaluation of figs mutant selections cv. roxo-de-Valinhos

The fig (Ficus carica L.), belonging to the Moraceas family, is one of the most important fruit crops, bringing Brazil to the condition of the tenth largest fig producer and exporter in the world. But the culture presents some problems with plant protection, and in Brazil, it is all implanted with an only cultivar, Roxo-de-Valinhos, which produces seedless fruit, not permitting the conventional improvement. In this sense, the genetic improvement by using mutagenic becomes a very important research line, that can greatly contribute to the culture development. Considering this, this study aimed to evaluate selections of fig originated from mutant plants formed by cuttings from buds irradiated with gamma ray and compare them with the main varieties of the culture in commercial plantation. By using plants originated from 5 traditional fig cultivars cuttings and 5 fig mutant selections (formed by cuttings from Roxo-de-Valinhos buds irradiated with gamma ray, in the dose of 30 Gy), spaced by 2.5 x 1.5 m. The experimental layout was a completely randomized block design, with 10 treatments, 3 repetitions and 5 plants per plot. The evaluations are made from the plants vegetative growth as well as the fruit characteristics. Through data analysis, it seems that there is variability between the mutant selections and with the traditional cultivars, and the treatment PI-189 was superior to the standard cultivar Roxo-de-Valinhos on great commercial characteristics importance, such as "number of fruit per plant", "average weight per fruit" and "productivity", having the same traits, showing itself with enormous potential for future studies.

Determination of the optimal quantity of crop residues for energy in sugarcane crop management using linear programming in variety selection and planting strategy

The aim of this work was to present organizational models for optimizing the reduction of crop residue generated by the sugarcane culture. The first model consisted of the selection of varieties of sugarcane to be planted meeting the mill requirements and, at the same time, to minimize the quantity of residue produced. The second model discussed the use of residue to produce energy. This is related to the selection of variety and quantity to be planted, in order to meet the requirements of the mill, to reduce the quantity of residue, and to maximize as much as possible the energy production. The use of linear programming was proposed. The two models presented similar results in this study, and both may be used to define the varieties and areas to be cultivated. (C) 2001 Published by Elsevier B.V. Ltd.

Isolation and molecular identification of wine yeasts from a Brazilian vineyard

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Mass generation from Lie algebra extensions

Applied to the electroweak interactions, the theory of Lie algebra extensions suggests a mechanism by which the boson masses are generated without resource to spontaneous symmetry breaking. It starts from a gauge theory without any additional scalar field. All the couplings predicted by the Weinberg-Salam theory are present, and a few others which are nevertheless consistent within the model.

On Clifford subalgebras, spacetime splittings and applications

Z(2)-gradings of Clifford algebras are reviewed and we shall be concerned with an alpha-grading based on the structure of inner automorphisms, which is closely related to the spacetime splitting, if we consider the standard conjugation map automorphism by an arbitrary, but fixed, splitting vector. After briefly sketching the orthogonal and parallel components of products of differential forms, where we introduce the parallel [orthogonal] part as the space [time] component, we provide a detailed exposition of the Dirac operator splitting and we show how the differential operator parallel and orthogonal components are related to the Lie derivative along the splitting vector and the angular momentum splitting bivector. We also introduce multivectorial-induced alpha-gradings and present the Dirac equation in terms of the spacetime splitting, where the Dirac spinor field is shown to be a direct sum of two quaternions. We point out some possible physical applications of the formalism developed.

Conformal structures and twistors in the paravector model of spacetime

Some properties of the Clifford algebras Cl-3,Cl-0, Cl-1,Cl-3, Cl-4,Cl-1 similar or equal to C circle times Cl-1,Cl-3 and Cl-2,Cl-4 are presented, and three isomorphisms between the Dirac-Clifford algebra C circle times Cl-1,Cl-3 and Cl-4,Cl-1 are exhibited, in order to construct conformal maps and twistors, using the paravector model of spacetime. The isomorphism between the twistor space inner product isometry group SU( 2,2) and the group $pin(+)(2,4) is also investigated, in the light of a suitable isomorphism between C circle times Cl-1,Cl-3 and Cl-4,Cl-1. After reviewing the conformal spacetime structure, conformal maps are described in Minkowski spacetime as the twisted adjoint representation of $ pin(+)(2,4), acting on paravectors. Twistors are then presented via the paravector model of Clifford algebras and related to conformal maps in the Clifford algebra over the Lorentzian R-4,(1) spacetime.We construct twistors in Minkowski spacetime as algebraic spinors associated with the Dirac-Clifford algebra C circle times Cl-1,Cl-3 using one lower spacetime dimension than standard Clifford algebra formulations, since for this purpose, the Clifford algebra over R-4,R-1 is also used to describe conformal maps, instead of R-2,(4). Our formalism sheds some new light on the use of the paravector model and generalizations.

Semiclassical particle spectrum of double sine-Gordon model

We present new theoretical results on the spectrum of the quantum field theory of the double sine-Gordon model. This non-integrable model displays different varieties of kink excitations and bound states thereof. Their mass can be obtained by using a semiclassical expression of the matrix elements of the local fields. In certain regions of the coupling-constants space the semiclassical method provides a picture which is complementary to the one of the form factor perturbation theory, since the two techniques give information about the mass of different types of excitations. In other regions the two methods are comparable, since they describe the same kind of particles. Furthermore, the semiclassical picture is particularly suited to describe the phenomenon of false vacuum decay, and it also accounts in a natural way the presence of resonance states and the occurrence of a phase transition. (C) 2004 Elsevier B.V. All rights reserved.

Yield of four Agaricus bisporus strains in three compost formulations and chemical composition analyses of the mushrooms

Três formulações de composto, à base de palhas de Cynodom dactylon (L.) Pers. (cultivares Coast-cross e Tyfton) e Aveia-Avena sativa, foram testadas no cultivo das linhagens ABI-01/01, ABI-04/02, ABI-05/03 e ABI-06/04 de A. bisporus. O delineamento experimental foi em esquema fatorial, inteiramente casualizado com 12 tratamentos (4 linhagens de A. bisporus x 3 tipos de composto) e 8 repetições. Cada unidade experimental constou de uma caixa com 1212,5 kg de composto fresco úmido. Os dados foram submetidos à análise de variância e as médias foram comparadas pelo teste de Tukey. de acordo com os resultados obtidos verificou-se que a produção de cogumelos foi influenciada pela linhagem e/ou pelo tipo de composto. Também verificou-se que o teor de proteína bruta, cinzas e fibra bruta de basidiomas variou com a linhagem de A. bisporus e com o tipo de palha utilizada na formulação do composto.

On the geometry of non-classical curves

In this paper we relate the numerical invariants attached to a projective curve, called the order sequence of the curve, to the geometry of the varieties of tangent linear spaces to the curve and to the Gauss maps of the curve. © 1992 Sociedade Brasileira de Matemática.

Quantum algebraic description of the Moszkowski model

In this paper we investigate the behaviour of the Moukowski model within the mnten of quantum algebras. The Moszkwski Hamiltonian is diagonalized aractly for different numbers of panicles and for various values of the deformalion parameter of the quanlum algebra involved. We also include ranking in our system and observe its variation as a function of the deformation parameters. © 1992 IOP Publishing Ltd.