The g-theorem and quantum information theory

We study boundary renormalization group flows between boundary conformal field theories in $1+1$ dimensions using methods of quantum information theory. We define an entropic $g$-function for theories with impurities in terms of the relative entanglement entropy, and we prove that this $g$-function decreases along boundary renormalization group flows. This entropic $g$-theorem is valid at zero temperature, and is independent from the $g$-theorem based on the thermal partition function. We also discuss the mutual information in boundary RG flows, and how it encodes the correlations between the impurity and bulk degrees of freedom. Our results provide a quantum-information understanding of (boundary) RG flow as increase of distinguishability between the UV fixed point and the theory along the RG flow.Comment: 34 pages + appendices, 8 figures. v2. Improved and corrected version of the proo

An Autoethnographic Exploration of the Professional and the Person: A Life\u27s Journey of a Hispanic Superintendent in South Texas

Leadership effectiveness is often defined in terms of, a leader’s ability to motivate followers towards a collective goal, mission or vision (Knippenberg, Knippenberg, Cremer & Hogg, 2004). However, a leaders’ understanding of their own identity; how education, culture, upbringing, values and morals helped shape the self (Leary, & Tangney, 2002; Anzaldua, 2015; and Guajardo & Guajardo, 2017) and how the leader functions as a contributing member of the organization (Knippenberg & Hogg, 2003) is critically important. Demographers have long held that by the year 2050, our nation will be increasingly more diverse and that there will be no racial or ethnic majority among the general population of the United States with Hispanics being one of the forces driving this demographic change (Murdock, 2004 and 2007; U.S. Census, 2010; America’s Voice, 2014). Gandara and Rumberger (2009) affirm that public schools in the United States have represented “the great equalizer” or the place where assimilation into the mainstream is inculcated regardless of the culture that students bring to school. This approach, however, is devoid of the benefits of validating the cultural capital and funds of knowledge that students already possess when they enroll in the public schools. As a result, most immigrant students who enter school as English Learners (EL) have low achievement and attainment (Gandara and Rumberger, 2009; Murdock, 2004 and 2007, America’s Voice, 2014). As the demographic landscape shifts, how our nation will manage the well documented disparities in education and economic indicators afflicting minorities including Hispanics, the fastest growing demographic in the nation, will continue to be a dilemma facing national leaders tasked with adopting policy solutions (Murdock, 2004 and 2007, America’s Voice, 2014). Our ability to help all students succeed in a state that is currently educating a minority-majority necessitates educational leaders with the ability to achieve cultural synchronicity and demonstrate an awareness of the importance of reaching cultural congruence. A leader must also possess the ability to increase the social and cultural capital, and recognize the resistance that may arise from the pedagogies of the home (Yosso, 2005; and Bernal, 2007)

El desarrollo de la energía nuclear y los riesgos de proliferación: el caso de Irán

El programa nuclear civil y militar de Irán muestra cómo ha progresado la proliferación nuclear apoyada en la demanda de energía, en la transferencia de tecnologías críticas y en la debilidad del régimen de no proliferación En los últimos años se ha producido un creciente interés en la energía nuclear como fuente de suministro y de diversificación de los recursos energéticos. La técnica de producción del combustible nuclear permite acabar produciendo material fisible militar. La dualidad de la tecnología nuclear supone un desafío estratégico y los procesos de proliferación nuclear han alterado el contexto estratégico de la península coreana, Asia Meridional y Oriente Medio. Los intentos de limitar la proliferación nuclear tratan de preservar el equilibrio adecuado entre los tres pilares del Tratado de No Proliferación de Armas Nucleares –desarme nuclear, no proliferación y usos pacíficos de la energía nuclear–, pero con escaso éxito, como demuestra el caso iraní que se describe en este ARI

Aplicación de los códigos termo-hidráulicos en el sector nuclear español

Articulo técnic

Irreversibility, QNEC, and defects

We first present an analysis of infinitesimal null deformations for the entanglement entropy, which leads to a major simplification of the proof of the $C$, $F$ and $A$-theorems in quantum field theory. Next, we study the quantum null energy condition (QNEC) on the light-cone for a CFT. Finally, we combine these tools in order to establish the irreversibility of renormalization group flows on planar $d$-dimensional defects, embedded in $D$-dimensional conformal field theories. This proof completes and unifies all known defect irreversibility theorems for defect dimensions $d\le 4$. The F-theorem on defects ($d=3$) is a new result using information-theoretic methods. For $d \ge 4$ we also establish the monotonicity of the relative entropy coefficient proportional to $R^{d-4}$. The geometric construction connects the proof of irreversibility with and without defects through the QNEC inequality in the bulk, and makes contact with the proof of strong subadditivity of holographic entropy taking into account quantum corrections.Comment: 26 pages, 1 figur

The entropic gg-theorem in general spacetime dimension

We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a $d$-dimensional Lorentzian conformal field theory. We identify the impurity entropy $g$ with the quantum relative entropy in two equivalent ways. One involves a null deformation of the Cauchy surface, and the other is given in terms of a local quench protocol. Positivity and monotonicity of the relative entropy imply that $g$ decreases monotonically along renormalization group flows, and provides a clear information-theoretic meaning for this irreversibility.Comment: v2: minor corrections, matches published version. 6 pages, 2 figure

On the 22-Selmer group of Jacobians of hyperelliptic curves

Let $\mathcal{C}$ be a hyperelliptic curve $y^2 = p(x)$ defined over a number field $K$ with $p(x)$ integral of odd degree. The purpose of the present article is to prove lower and upper bounds for the $2$-Selmer group of the Jacobian of $\mathcal{C}$ in terms of the class group of the $K$-algebra $K[x]/(p(x))$. Our main result is a formula relating these two quantities under some mild hypothesis. We provide some examples that prove that our lower and upper bounds are as sharp as possible. As a first application, we study the rank distribution of the $2$-Selmer group in families of quadratic twists. Under some extra hypothesis we prove that among prime quadratic twists, a positive proportion has fixed $2$-Selmer group. As a second application, we study the family of octic twists of the genus $2$ curve $y^2 = x^5 + x$.Comment: 28 pages, comments welcome

Irreversibility in quantum field theories with boundaries

We study conformal field theories with boundaries, and their boundary renormalization group (RG) flows, using methods from quantum information theory. Positivity of the relative entropy, together with unitarity and Lorentz invariance, give rise to bounds that characterize the irreversibility of such flows. This generalizes the recently proved entropic g-theorem to higher dimensions. In 2 + 1 dimensions with a boundary, we prove the entropic b-theorem — the decrease of the two-dimensional Weyl anomaly under boundary RG flows. In higher dimensions, the bound implies that the leading area coefficient of the entanglement entropy induced by the defect decreases along the flow. Our proof unifies these properties, and provides an information-theoretic interpretation in terms of the distinguishability between the short distance and long distance states. Finally, we establish a sum rule for the change in the area term in theories with boundaries, which could have implications for models with localized gravity.Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Salazar, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Torroba, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentin

Diseño de la red de campus para la Unidad Educativa Fiscomisional Don Bosco La Tola

El presente proyecto técnico hace referencia al diseño de la red para el Colegio Fiscomisional Don Bosco la Tola, el mismo que pretende consolidar su infraestructura tecnológica para optimizar sus requerimientos de navegación de internet y proveer una comunicación efectiva y eficiente para los usuarios. A partir del análisis de la línea base de la red actual, se pudo observar algunos problemas como una reducida planificación que no asegura un crecimiento estable de la infraestructura de la red, además no se posee una tecnológica adecuada para resolver los requerimientos existentes. El diseño propuesto abarca una reestructuración completa de la red en su parte física y lógica, se incluye un estudio de los estándares vigentes para el sistema de cableado estructurado y en base a las necesidades actuales se procedió a seleccionar los componentes que aseguren un diseño correcto con características de escalabilidad, que pueda reaccionar y ajustarse a un crecimiento de la red, además permita trabajar en IPv4 e IPv6 alistándose para retos futuros. Finalmente, se compara el desempeño de la red con todas las aplicaciones configuradas y se incluye un análisis del costo para definir la viabilidad en la implementación a futuro.This technical project refers to the design of the network for Colegio Fiscomisional Don Bosco la Tola, which aims to consolidate its technological infrastructure to optimize its internet browsing requirements and provide effective and efficient communication for users. From the analysis of the baseline of the current network, some problems could be observed, such as reduced planning that does not ensure stable growth of the network infrastructure, and there is no adequate technology to meet existing requirements. The proposed design encompasses a complete restructuring of the network in its physical and logical part, a study of the current standards for the structured cabling system is included and based on the current needs, the components that ensure a correct design were selected. features of scalability, which can react and adjust to a growth of the network, also allow to work in IPv4 and IPv6 getting ready for future challenges. Finally, the performance of the network is compared with all the configured applications and a cost analysis is included to define the viability in the future implementation