Classical and quantum N=1 super W∞W_\infty-algebras

We construct higher-spin N=1 super algebras as extensions of the super Virasoro algebra containing generators for all spins $s\ge 3/2$. We find two distinct classical (Poisson) algebras on the phase super space. Our results indicate that only one of them can be consistently quantized.Comment: 10 pages, latex, no figure

La división de las ciencias y el tema del hombre-microcosmos según algunos maestros de artes de París hacia 1250

En las divisiones de la ciencia provenientes de la Facultad de Artes de París, algunos maestros (Pseudo-Peckham, Iohannes Pagus) establecen conexiones entre las facultades del alma y los objetos del mundo propios a la actividad de cada una de tales facultades, determinando así las diversas ciencias que surgen a partir de estas relaciones. El enlace de estos elementos se hace posible dentro del marco del hombre como microcosmos que los maestros desarrollan a partir de adagios aristotélicos tomados del De anima y de la Física con la utilización de algunas fuentes neoplatónicas. Según los maestros de artes, el conocimiento de todas las cosas es asequible al hombre precisamente porque en él se encuentran, de alguna manera, el resumen y la presencia de todas las cosas.In divisions of sciences issued from the Parisian Arts Faculty, some masters (Pseudo-Peckham, Iohannes Pagus) established connexions between the powers of the soul and the world objects proper to each power. Different sciences arise out of these connexions. The link of these elements is possible on the background of man as a microcosm, which masters develop from some Aristotelian adages taken from De Anima and the Physics with the help of some Neoplatonic sources. According to the masters of Arts, the knowledge of all things is attainable for men precisely because all things reside in him in a certain way.Fil: Buffon, Valeria A.. Consejo Nacional de Investigaciones Científicas y Técnica

Higher spin constraints and the super (W∞2⊕W1+∞2)( W_{\infty\over 2}\oplus W_{{1+\infty}\over 2}) algebra in the super eigenvalue model

We show that the partition function of the super eigenvalue model satisfies an infinite set of constraints with even spins $s=4,6,\cdots,\infty$. These constraints are associated with half of the bosonic generators of the super $\left( W_{\infty \over 2}\oplus W_{{1+\infty}\over 2}\right)$ algebra. The simplest constraint $(s=4)$ is shown to be reducible to the super Virasoro constraints, previously used to construct the model. All results hold for finite $N$.Comment: 14 pages, latex, no figure

Caracterização do perfil transcricional de genes associados à estenoespermocarpia em videira (Vitis vinifera L.).

O objetivo deste trabalho foi caracterizar o perfil transcricional de dois genes candidatos associados à estenoespermocarpia em cultivares com semente (Chardonnay) e com traços de semente (Sultanina) em diferentes estádios de desenvolvimento do fruto.Resumo

Topological mass mechanism and exact fields mapping

We present a class of mappings between models with topological mass mechanism and purely topological models in arbitrary dimensions. These mappings are established by directly mapping the fields of one model in terms of the fields of the other model in closed expressions. These expressions provide the mappings of their actions as well as the mappings of their propagators. For a general class of models in which the topological model becomes the BF model the mappings present arbitrary functions which otherwise are absent for Chern-Simons like actions. This work generalizes the results of [1] for arbitrary dimensions.Comment: 11 page

A new picture on (3+1)D topological mass mechanism

We present a class of mappings between the fields of the Cremmer-Sherk and pure BF models in 4D. These mappings are established by two distinct procedures. First a mapping of their actions is produced iteratively resulting in an expansion of the fields of one model in terms of progressively higher derivatives of the other model fields. Secondly an exact mapping is introduced by mapping their quantum correlation functions. The equivalence of both procedures is shown by resorting to the invariance under field scale transformations of the topological action. Related equivalences in 5D and 3D are discussed. A cohomological argument is presented to provide consistency of the iterative mapping.Comment: 13 page

Facts, Norms and Expected Utility Functions

International audienceIn this paper we want to explore an argumentative pattern that provides a normative justification for expected utility functions grounded on empirical evidence, showing how it worked in three different episodes of their development. The argument claims that we should prudentially maximize our expected utility since this is the criterion effectively applied by those who are considered wisest in making risky choices (be it gamblers or businessmen). Yet, to justify the adoption of this rule, it should be proven that this is empirically true: i.e., that a given function allows us to predict the choices of that particular class of agents. We show how expected utility functions were introduced and contested in accordance to this pattern in the 18th century and how it recurred in the 1950s when M. Allais made his case against the neobernoullians

A candidate for a background independent formulation of M theory

A class of background independent membrane field theories are studied, and several properties are discovered which suggest that they may play a role in a background independent form of M theory. The bulk kinematics of these theories are described in terms of the conformal blocks of an algebra G on all oriented, finite genus, two-surfaces. The bulk dynamics is described in terms of causal histories in which time evolution is specified by giving amplitudes to certain local changes of the states. Holographic observables are defined which live in finite dimensional states spaces associated with boundaries in spacetime. We show here that the natural observables in these boundary state spaces are, when G is chosen to be Spin(D) or a supersymmetric extension of it, generalizations of matrix model coordinates in D dimensions. In certain cases the bulk dynamics can be chosen so the matrix model dynamics is recoverd for the boundary observables. The bosonic and supersymmetric cases in D=3 and D=9 are studied, and it is shown that the latter is, in a certain limit, related to the matrix model formulation of M theory. This correspondence gives rise to a conjecture concerning a background independent form of M theory in terms of which excitations of the background independent membrane field theory that correspond to strings and D0 branes are identified.Comment: Latex 46 pages, 21 figures, new results included which lead to a modification of the statement of the basic conjecture. Presentation improve