Deformed Weitzenböck Connections and Double Field Theory

We revisit the generalized connection of Double Field Theory. We implement a procedure that allow us to re-write the Double Field Theory equations of motion in terms of geometric quantities (like generalized torsion and non-metricity tensors) based on other connections rather than the usual generalized Levi-Civita connection and the generalized Riemann curvature. We define a generalized contorsion tensor and obtain, as a particular case, the Teleparallel equivalent of Double Field Theory. To do this, we first need to revisit generic connections in standard geometry written in terms of first-order derivatives of the vielbein in order to obtain equivalent theories to Einstein Gravity (like for instance the Teleparallel gravity case). The results are then easily extrapolated to DFT.Fil: Penas, Victor Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentin

Duality phases and halved maximal D=4 supergravity

The duality angles deformation developed by de Roo and Wagemans within the context of N=4 gauged supergravity is used in order to study certain classes of gaugings of N=8 supergravity, namely, those that are consistent when halving the maximal D=4 theory. After reviewing the truncation process from N=8 to N=4 supergravity in terms of the embedding tensor formalism, the de Roo-Wagemans phases method is implemented for solving the resulting constraints on the gauging parameters by means of the Schon-Weidner ansatz. In contrast with the twenty semisimple N=4 gaugings admitting more than a single SL(2) angle deforming their decompositions reported in the literature, it is proven that only three of them can be embedded back into the N=8 theory. The scalar potential derived for only two of these gauge groups exhibits an extremum in the origin of the scalar manifold. These extrema are not stable under fluctuations of all the scalar fields.Fil: Iguri, Sergio Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio(i); Argentina;Fil: Penas, Victor Alejandro. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina

Properties of double field theory

In this thesis we study several aspects of Double Field Theory (DFT). In general, Double Field Theory is subject to the so-called strong constraint. By using the Flux Formulation of DFT, we explore to what extent one can deal with the gauge consistency constraints of DFT without imposing the strong constraint. We introduce the generalized fluxes, which are higher-dimensionalelds that upon compactication give rise to the usual constant fluxes (i.e., the gaugings of gauged supergravities). We rely on a geometric construction in order to build geometric quantities like the generalized Ricci scalar. The novel notions of stringy differential geometry are adapted to hold beyond the strong constraint. We move on to study the usual chain of brane solutions known as NS5-KK5-Q5 (or 522) and R5 in the DFT language. We argue that the R5-brane solution has a winding coordinate-dependence rendering it locally non-geometric from the usual supergravity point of view. We justify this by using a generalized Scherk-Schwarz reduction ansatz of DFT. Finally, we construct the dual theory of Double Field Theory, which we call Dual Double Field Theory. This theory incorporates all the mixed-symmetry potentials that couple naturally to the branes mentioned before. We consider a dualization procedure proposing a first-order action in the Flux Formulation and also in a geometric formulation using the spin connection. The Dual DFT reduces to the standard dualization for the NS-elds in standard space

Exploring Double Field Theory

We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by truly double configurations. The constraints are related to generalized Bianchi Identities for (non-)geometric fluxes in the double space, sourced by (exotic) branes. Following previous constructions, we then obtain generalized connections, torsion and curvatures compatible with the consistency conditions. The strong constraint-violating terms needed to make contact with gauged supergravities containing duality orbits of non-geometric fluxes, systematically arise in this formulation.Comment: To appear in JHE

Partition functions on slightly squashed spheres and flux parameters

We argue that the conjectural relation between the subleading term in the small-squashing expansion of the free energy of general three-dimensional CFTs on squashed spheres and the stress-tensor three-point charge t4 proposed in arXiv:1808.02052: FSε3(3)(0)=1630π4CTt4, holds for an infinite family of holographic higher-curvature theories. Using holographic calculations for quartic and quintic Generalized Quasi-topological gravities and general-order Quasi-topological gravities, we identify an analogous analytic relation between such term and the charges t2 and t4 valid for five-dimensional theories: FSε5(3)(0)=215π6CT[1+340t2+23630t4]. We test both conjectures using new analytic and numerical results for conformally-coupled scalars and free fermions, finding perfect agreementThe work of PB was supported by the Simons foundation through the It From Qubit Simons collaboration. PAC was supported by the KU Leuven grant “Bijzonder Onderzoeksfonds C16/16/005 — Horizons in hoge-energie fysica”. The work of RAH is supported by the Natural Sciences and Engineering Research Council of Canada through the Banting Postdoctoral Fellowship program. The work of VAP was supported by CONICET. The work of AR was supported by a FPI-UAM pre-doctoral gran

ASSOCIATION BETWEEN LEISURE TIME PHYSICAL ACTIVITY AND MORTALITY BY COVID-19 IN THE BRAZILIAN CAPITALS: AN ECOLOGICAL ANALYSIS

Background: recent points of view catch us attention to the importance of continuing to practice physical activity during the Covid-19 pandemic, however few studies have analyzed the association between physical activity and worsening of the clinical outcome, hospitalizations or mortality from the new coronavirus Objective: to analyze the association between physical activity and deaths by Covid-19 in the Brazilian capitals. Methods: observational cross-sectional ecological study, when data on prevalence of leisure time physical activity and deaths by Covid-19 were analyzed in 26 Brazilian capitals and the Federal District as well. Data on the prevalence of leisure time physical activity, obesity and hypertension has been collected through the Risk Factors Surveillance System for chronic non-communicable diseases of the Brazilian Ministry of Health were used. Information on accumulated deaths, lethality of the disease and mortality rate were extracted from SUS(Brazil's Unified National Health System) Analytical: data on COVID-19 in Brazil, available on the website of the Brazilian Ministry of Health. For data analysis, simple Pearson correlation and multiple regression were used with a 5% significance level. Results: demonstrate the existence of an inverse correlation between leisure time physical activity and accumulated deaths (r = -0.44, p = 0.03), mortality rate/100,000 inhabitants (r =   -0.43, p = 0.02) as well as with the lethality of the disease (r = -0.51, p = 0.01). They also demonstrate an inverse association between leisure time physical activity and accumulated deaths (β = -485.1, p = 0.04), as well as with the lethality of the disease (β = -0.21, p = 0.02), even after adjusting for confounding variables. Conclusions: the practice of leisure time physical activity can be an important ally in coping with Covid-19. The inverse association observed among physical activity, accumulated deaths and disease lethality can bring important reflections on the actions that have been implemented by government agencies, both state and municipal regarding the practice of physical activity by the population.Antecedentes: pontos de vista recentes chamam a atenção para a importância de continuar a praticar atividade física durante a pandemia da Covid-19, porém poucos estudos analisaram a associação entre atividade física e a piora do quadro clínico, hospitalizações ou mortalidade pelo novo coronavírus Objetivo: analisar a associação entre atividade física e óbitos por Covid-19 nas capitais brasileiras. Métodos: estudo ecológico transversal observacional, onde foram analisados ​​dados de prevalência de atividade física no lazer e óbitos por Covid-19, em 26 capitais brasileiras e também no Distrito Federal. Foram utilizados dados de prevalência de atividade física no lazer, obesidade e hipertensão arterial, coletados por meio do Sistema de Vigilância de Fatores de Risco para doenças crônicas não transmissíveis do Ministério da Saúde do Brasil. As informações sobre óbitos acumulados, letalidade da doença e taxa de mortalidade foram extraídas do SUS (Sistema Único de Saúde).  Analítico: dados do COVID-19 no Brasil, disponíveis no site do Ministério da Saúde do Brasil, disponíveis para a análise dos dados, foram utilizadas correlação de Pearson simples e regressão múltipla com nível de significância de 5%. Resultados: demonstram a existência de correlação inversa entre atividade física no lazer e óbitos acumulados (r = -0,44, p = 0,03), taxa de mortalidade / 100.000 habitantes (r = -0,43, p = 0,02) bem como com a letalidade de a doença (r = -0,51, p = 0,01). Também demonstram associação inversa entre atividade física no lazer e óbitos acumulados (β = -485,1, p = 0,04), bem como com a letalidade da doença (β = -0,21, p = 0,02), mesmo após ajuste para confundimento variáveis. Conclusões: a prática de atividade física no lazer pode ser um importante aliado no enfrentamento da  Covid-19. A associação inversa observada entre atividade física, mortes acumuladas e letalidade de doenças pode trazer reflexos importantes sobre as ações que vêm sendo implementadas por órgãos governamentais, estaduais e municipais, no que diz respeito à prática de atividade física pela população