scholarly journals ON ELEVATING FREE-FERMION Z2×Z2 ORBIFOLDS MODELS TO COMPACTIFICATIONS OF F THEORY

2000 ◽  
Vol 15 (09) ◽  
pp. 1345-1362 ◽  
Author(s):  
P. BERGLUND ◽  
J. ELLIS ◽  
A. E. FARAGGI ◽  
D. V. NANOPOULOS ◽  
Z. QIU

We study the elliptic fibrations of some Calabi–Yau threefolds, including the Z2×Z2 orbifold with (h1,1,h2,1)=(27, 3), which is equivalent to the common framework of realistic free-fermion models, as well as related orbifold models with (h1,1,h2,1)=(51, 3) and (31, 7). However, two related puzzles arise when one considers the (h1,1,h2,1)=(27, 3) model as an F theory compactification to six dimensions. The condition for the vanishing of the gravitational anomaly is not satisfied, suggesting that the F theory compactification does not make sense, and the elliptic fibration is well defined everywhere except at four singular points in the base. We speculate on the possible existence of N=1 tensor and hypermultiplets at these points which would cancel the gravitational anomaly in this case.

Author(s):  
Alberto Simões

Teaching computer programming is an important task in the formation of computer scientists. Being a subject taught in the first years of student degrees, need to properly motivate students, so they try, at home, to learn by themselves, complementing that way their classes. This chapter proposes an approach to computer programming teaching based on the construction of videogames, using state of the art game frameworks. The author will show how the task of writing a game using a common framework deals with the basic programming concepts that are usually taught on a first course on computer programming, namely on object oriented programming languages like C# or Java: algebraic operations with variables, methods declaration, objects definition, objects hierarchy and multidimensional arrays. As it will be shown, even the common order of concepts presentation during the course can be kept, although applying them to computer games instead of the usually requested exercises.


Author(s):  
Yann Bramoullé ◽  
Rachel Kranton

This chapter studies games played on fixed networks. These games capture a wide variety of economic settings, including local public goods, peer effects, and technology adoption. The chapter establishes a common analytical framework to study a wide game class. The authors review and advance existing results by showing how they tie together within the common framework. The chapter discusses the game-theoretic underpinnings of key notions including Bonacich centrality and the lowest and largest eigenvalue. The text discusses the interplay of individual heterogeneity and the network and develops a new notion—interdependence—to analyze how a shock to one agent affects the action of another agent.


Author(s):  
Fursa Svitlana Yaroslavivna ◽  
Kukhniuk Dmitriy Vladimirovich ◽  
Bondar Iryna Vadymivna ◽  
Maliarchuk Liubov Sergiivna ◽  
Derii Olena Olexsandrivna

The study discusses the role of the philosophy of law in the process of unifying legal systems through the prism of the principles of the Draft Common Framework of Reference in Europe. The application of the philosophy of law in unification processes is also a necessary condition for the implementation of these processes about human rights and the sovereign interests of the State, which implements the unification of the legal order. Hence, the issue of European integration determines the strategic direction of the state, and this leads to the unification of law. The study aims to identify the role of the philosophy of law in the processes of unifying the legal systems of the European Union and its importance in the use of principles in these processes, justifying the need to use the philosophy of law in any process of transformation. It is concluded that the philosophy of law is a bridge harmonized with the legal sphere of operation of both individual states and supranational associations.


Author(s):  
Camille Bedock

This chapter aims to describe the changes that were made to core democratic rules in Western Europe between 1990 and 2010, by using the database on ‘Institutional change in advanced European democracies’. With the inclusion of six dimensions of reform over twenty years in eighteen Western European democracies, this database enables us to grasp the amount, the direction, and the format of change in consolidated democracies. The contrasts and the common trends that appear across dimensions of reform and across countries are discussed, focusing on the number and extent of reforms (minor vs. substantial), their direction (inclusive vs. exclusive), and their format (bundled or isolated). The main conclusions to be drawn are that both the rarity and singularity of reform can be dismissed as the illusions they are, and that reforms adopted over the last decades have overwhelmingly moved towards greater inclusiveness.


Author(s):  
José Manuel Saiz-Alvarez

This work deals with the Socioeconomics of Solidarity analyzed from a double public and private perspectives. The chapter begins with the guiding principles of this emerging economic thought based on the principle of subsidiarity, the search for the Common Good, and the necessary solidarity based on justice. After having grounded these principles, the author develops different solidarity-based public policies, mainly focused on the European Union, by including principles, objectives and stages of the European Official Development Aid, the European Development Fund, and the Common Framework for Joint Multiannual Programming and Efficiency. This analysis is complemented with the ideas rooted on the Socioeconomics of Solidarity that is analyzed following a private perspective, arguing that it is necessary to re-launch these School of Thought based on solidarity and justice to search for an economic world characterized by social welfare and economic wealth.


Author(s):  
Jose Manuel Saiz-Alvarez

This chapter deals with how the socioeconomics of solidarity inserted in the Industry 4.0 can bring about solidarity and the creation of social and economic wealth based on the guiding principles of subsidiarity, the search for the common good, and solidarity based on social justice. After having grounded these principles, the author develops different solidarity-based public policies, mainly focused on the European Union, by including principles, objectives, and stages of the European ODA (Official Development Aid), the European Development Fund, the Common Framework for Joint Multiannual Programming and Efficiency, and the European Consensus on Development “Our World, Our Dignity, Our Future.” Some ideas complement this analysis linked to the socioeconomics of solidarity that focuses on solidarity and justice to search for a more balanced business world defined by social welfare and economic wealth.


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