A note on the non-commutative Chern-Simons model on manifolds with boundary

We study field theories defined in regions of the spatial non-commutative (NC) plane with a boundary present delimiting them, concentrating in particular on the U(1) NC Chern-Simons theory on the upper half plane. We find that classical consistency and gauge invariance lead necessary to the introduction of $K_0$-space of square integrable functions null together with all their derivatives at the origin. Furthermore the requirement of closure of $K_0$ under the *-product leads to the introduction of a novel notion of the *-product itself in regions where a boundary is present, that in turn yields the complexification of the gauge group and to consider chiral waves in one sense or other. The canonical quantization of the theory is sketched identifying the physical states and the physical operators. These last ones include ordinary NC Wilson lines starting and ending on the boundary that yield correlation functions depending on points on the one-dimensional boundary. We finally extend the definition of the *-product to a strip and comment on possible relevance of these results to finite Quantum Hall systems.Comment: 15 pages, references added, to appear in International Journal of Modern Physic

Non standard parametrizations and adjoint invariants of classical groups

We obtain local parametrizations of classical non-compact Lie groups where adjoint invariants under maximal compact subgroups are manifest. Extension to non compact subgroups is straightforward. As a by-product parametrizations of the same type are obtained for compact groups. They are of physical interest in any theory gauge invariant under the adjoint action, typical examples being the two dimensional gauged Wess-Zumino-Witten-Novikov models where these coordinatizations become of extreme usefulness to get the background fields representing the vacuum expectation values of the massless modes of the associated (super) string theory.Comment: 11 pages, latex file, La Plata preprint Th-99/01. Minor changes in the introduction, version to appear in Physics Letters

On the inconsistency of the MLE in certain heteroskedastic regression models

This paper studies the possibility of inconsistency of the maximum likelihood estimators for certain heteroskedastic regression models. These include the Poisson regression model and the ARCH models.

Correlation functions in the non-commutative Wess-Zumino-Witten model

We develop a systematic perturbative expansion and compute the one-loop two-points, three-points and four-points correlation functions in a non-commutative version of the U(N) Wess-Zumino-Witten model in different regimes of the $\theta$-parameter showing in the first case a kind of phase transition around the value $\theta_c = \frac{\sqrt{p^2 + 4 m^2}}{\Lambda^2 p}$, where $\Lambda$ is a ultraviolet cut-off in a Schwinger regularization scheme. As a by-product we obtain the functions of the renormalization group, showing they are essentially the same as in the commutative case but applied to the whole U(N) fields; in particular there exists a critical point where they are null, in agreement with a recent background field computation of the beta-function, and the anomalous dimension of the Lie algebra-valued field operator agrees with the current algebra prediction. The non-renormalization of the level $k$ is explicitly verified from the four-points correlator, where a left-right non-invariant counter-term is needed to render finite the theory, that it is however null on-shell. These results give support to the equivalence of this model with the commutative one.Comment: 21 pages, latex, no figures, shortened version to appear in Physics Letters

Functions of cell surface galectin-glycoprotein lattices

Programmed remodeling of cell surface glycans by the sequential action of specific glycosyltransferases can control biological processes by generating or masking ligands for endogenous lectins. Galectins, a family of animal lectins with affinity for beta-galactosides, can form multivalent complexes with cell surface glycoconjugates and deliver a variety of intracellular signals to modulate cell activation, differentiation, and survival. Recent efforts involving genetic or biochemical manipulation of O-glycosylation and N-glycosylation pathways, as well as blockade of the synthesis of endogenous galectins, have illuminated essential roles for galectin-glycoprotein lattices in the control of biological processes including receptor turnover and endocytosis, host-pathogen interactions, and immune cell activation and homeostasis.Fil: Rabinovich, Gabriel Adrián. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Biología y Medicina Experimental. Fundación de Instituto de Biología y Medicina Experimental. Instituto de Biología y Medicina Experimental; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Toscano, Marta Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Biología y Medicina Experimental. Fundación de Instituto de Biología y Medicina Experimental. Instituto de Biología y Medicina Experimental; ArgentinaFil: Jackson, Shawn S.. University of Maryland; Estados UnidosFil: Vasta, Gerardo R.. University of Maryland; Estados Unido

Supertubes and special holonomy

We obtain a $\frac 14$-supersymmetric 6-brane solution of IIA Supergravity by T-dualizing the supertube recently found. The resulting $C_{\it 1}$ electric charge is related to the original $D0$-brane charge. The uplifted solution to eleven dimensions results to be a purely geometrical configuration, which can be interpreted as a bound state of a Taub-NUT space and a pp-wave. Being the non trivial part of the metric pseudo-Riemannian, the resulting reduced holonomy group is non-compact and locally isomorphic to a semidirect product of an Abelian four dimensional group and SU(2).Comment: 11 pages, latex, no figure

Non-Markovian non-stationary completely positive open quantum system dynamics

By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is defined by a set of disruptive events, consisting in the action of a completely positive superoperator over the system density matrix. The random time intervals between events are described by an arbitrary waiting-time distribution. We show that, in contrast to the Markovian case, if one performs a system-preparation (measurement) at an arbitrary time, the subsequent evolution of the density matrix evolution is modified. The non-stationary character refers to the absence of an asymptotic master equation even when the preparation is performed at arbitrary long times. In spite of this property, we demonstrate that operator expectation values and operators correlations have the same dynamical structure, establishing the validity of a non-stationary quantum regression hypothesis. The non-stationary property of the dynamic is also analyzed through the response of the system to an external weak perturbation.Comment: 13 pages, 3 figure

El problema de diagenesis y metamorfismo en el grupo de Bokkeveld de Sud África y las Sierras Australes de la provincia de Buenos Aires

En base a la estratigrafía y tectónica del Grupo de Bokkeveld, suministrado por S0EK0R de Sud Africa, se han ubicado las muestras utilizadas en el presente trabajo. Las muestras de las Sierras Australes, fueron tomadas de los Grupos de Ventana y Pillahuincó, de uno de los perfiles realizados por T. Suero (1967). El estudio Petrográfico de las Rocas de Bokkeveld y S. de la Ventana, muestran una gran similitud y homogeneidad entre ellas. Deben considerarse como rocas Sedimentarias, por la presencia de montmorillonita y de minerales interestratificados de arcillas. Las plagioclasas presentan una composición demasiado básica para incluir las rocas dentro del metamorfismo de bajo rango. Lá presencia de epidoto en las formaciones Bonete y Tunas se considera de origen hidrotermal.The samples used in this study have been selected taking into account the stratigraphy and tectonic of the Bokkeveld Group, submitted by SOEKOR Co. The rocks from the Southern Hills, Buenos Aires, were obtained from Ventana and Pilla- huincd Groups, on the basis of the profile from T. Suero. The petrographic studies of the rocks of Bokkeveld and Ventana Hills, show that there is homogenity and similitude in them. They should be considered as sedimentary rocks, sincje there is montmorillonite and interstratified clay minerals in them. The plagioclases are too basic to include this rocks in the very low range of metamorphism. Epidote, in Bonete and Tunas Formations, should be considered of hydrothermal and not of metamorphic origin