Progress in classically solving ten dimensional supersymmetric reduced Yang-Mills theories

It is shown that there exists an on-shell light cone gauge where half of the fermionic components of the super vector potential vanish, so that part of the superspace flatness conditions becomes linear. After reduction to $(1+1)$ space-time dimensions, the general solution of this subset of equations is derived. The remaining non-linear equations are written in a form which is analogous to Yang equations, albeit with superderivatives involving sixteen fermionic coordinates. It is shown that this non-linear part may, nevertheless, be solved by methods similar to powerful technics previously developed for the (purely bosonic) self-dual Yang Mills equations in four dimensions.Comment: 17 pages Latex non figure

Supersymmetric Black Holes from Toda Theories

On the example of nonabelian Toda type theory associated with the Lie superalgebra $osp(2|4)$ we show that this integrable dynamical system is relevant to a black hole background metric in the corresponding target space. In the even sector the model under consideration reduces to the exactly solvable conformal theory (nonabelian $B_2$ Toda system) in the presence of a black hole recently proposed in the article "Black holes from non-abelian Toda theories" by the last two authors (hep-th 9203039).Comment: 4 pages, Late

Lotka--Volterra Type Equations and their Explicit Integration

In the present note we give an explicit integration of some two--dimensionalised Lotka--Volterra type equations associated with simple Lie algebras, other than the familiar $A_n$ case, possessing a representation without branching. This allows us, in particular, to treat the first fundamental representations of $A_r$, $B_r$, $C_r$, and $G_2$ on the same footing.Comment: 3 pages LATEX fil

Integrated predictive genome-scale models to improve the metabolic re-engineering efficiency

One of the most common applications of metabolic circuits is to produce a desired chemical in a chassis organism, such as the Escherichia coli (E. coli), by importing heterologous genes encoding for the enzymes that participate in the biosynthetic pathway. Recently, an automated pipeline named RetroPath was developed to synthesise embedded metabolic circuits [1]. These circuits are to be embedded in E. coli for a wide range of applications such as regulating biomass productions, sensing specifc molecules, processing specific molecules, and releasing specific molecules. In this paper, we improve the efficiency of RetroPath via quadratic programming

Nouveautés sur les débits monstrueux de l'Amazone...

Après une première étude sur les variations saisonnières de l'Amazone, Maurice Pardé proposait en 1954 à la communauté hydrologique la valeur de 100000 à 110000 m3/s comme module de ce fleuve géant qui draine un bassin de plus de 6000000 km2. Ce résultat, que certains jugeaient alors excessif, était basé sur les observations de son compatriote Paul Le Cointe, et sur le calcul d'un bilan hydrique rudimentaire, du fait du très petit nombre de données hydroclimatiques disponibles à cette époque. Après les premiers jaugeages de l'Amazone à Obidos par l'USGS en 1963-64, le module de plus puissant fleuve du monde était alors estimé à 170000-190000 m3/s, attestant ainsi que la première estimation de Pardé n'était absolument pas surestimée... Les résultats obtenus dans le cadre du programme HIBAM (Hidrologia de Bacia Amazonica, DNAEE/CNPq-ORSTOM) ont permis de préciser le régime de l'Amazone et de ses principaux tributaires. Les apports des différents sous-bassins et le module de l'Amazone à son embouchure ont pu être estimés avec une assez bonne précision, ce qui a rendu possible la régionalisation des débits annuels. (Résumé d'auteur

Gauge Conditions for the Constrained-WZNW--Toda Reductions

There is a constrained-WZNW--Toda theory for any simple Lie algebra equipped with an integral gradation. It is explained how the different approaches to these dynamical systems are related by gauge transformations. Combining Gauss decompositions in relevent gauges, we unify formulae already derived, and explictly determine the holomorphic expansion of the conformally reduced WZNW solutions - whose restriction gives the solutions of the Toda equations. The same takes place also for semi-integral gradations. Most of our conclusions are also applicable to the affine Toda theories.Comment: 12 pages, no figure