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Topological Quantum Field Theory and Four Manifolds
The emergence of topological quantum ?eld theory has been one of the most important breakthroughs which have occurred in the context of ma- ematical physics in the last century, a century characterizedbyindependent developments of the main ideas in both disciplines, physics and mathematics, which has concluded with two decades of strong interaction between them, where physics, as in previous centuries, has acted as a source of new mat- matics. Topological quantum ?eld theories constitute the core of these p- nomena, although the main drivingforce behind it has been the enormous e?ort made in theoretical particle physics to understand string theory as a theory able to unify the four fundamental interactions observed in nature. These theories set up a new realm where both disciplines pro?t from each other. Although the most striking results have appeared on the mathema- calside,theoreticalphysicshasclearlyalsobene?tted,sincethecorresponding developments have helped better to understand aspects of the fundamentals of ?eld and string theory.
Supersymmetry In The Theories Of Fields, Strings & Branes, Procs Of The Advanced School
During the last three decades supersymmetry has grown into one of the busiest theoretical avenues of particle physics. Supersymmetric ideas dominate the scenario of “beyond the standard model phenomenology”, in spite of the thirty-year-old experimental opacity, a situation that could change within the following decade. One additional important reason for the good health of supersymmetry must be found in the most speculative areas of particle physics. Much of its success comes from superstring theory.The Advanced School on Supersymmetry in the Theories of Fields, Strings and Branes attempted to provide an up-to-date perspective of the role played by supersymmetry in these subjects. The le...
Chern-Simons Theory, Matrix Models, and Topological Strings
After an introduction to matrix models and Cherns-Simons gauge theory, this book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implication of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory.
An Introduction to Quantum Field Theory
This is a systematic presentation of quantum field theory from first principles, emphasizing both theoretical concepts and experimental applications. Starting from introductory quantum and classical mechanics, this book develops the quantum field theories that make up the 'Standard Model' of elementary processes. It derives the basic techniques and theorems that underly theory and experiment, including those that are the subject of theoretical development. Special attention is also given to the derivations of cross sections relevant to current high-energy experiments and to perturbative quantum chromodynamics, with examples drawn from electron-positron annihilation, deeply inelastic scatteri...
European Union Encyclopedia and Directory 2023
Thoroughly updated, this extensive reference source provides in-depth information on all matters relating to the European Union (EU): EU energy policy in the context of the Russian Federation’s invasion of Ukraine is covered in depth, as is the impact of the COVID-19 crisis on EU policy; EU citizenship after Brexit is discussed, together with EU migration policy and the EU’s social framework; EU-Africa relations are reviewed, and current issues in overall foreign policy and security are addressed. Key Features: an up-to date chronology of the EU from 1947 to present an A-Z section contains definitions and explanations of organizations, acronyms and terms, and articles on each member stat...
Infinite Dimensional Groups and Manifolds
The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern--Weil construction in infinite dimensions, the hamiltonian approach to quantum field theory, and different aspects of large N limits ranging from approximation methods in quantum mechanics to modular forms and string/gauge theory duality. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics.
Rafael Lozano-Hemmer
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Mexican Political Biographies, 1935-1993
My Father’s Shoes is, at its core, an anthology of short stories. The book is allegoric and the shoes are metaphoric. Unlike most anthologies, however, these stories are an amalgam of themselves. They integrate and coalesce. There is a rhythm and a cadence both in substance and in form. This book was initially written as a gift to my father. I wanted to share certain memories with him that were meaningful and lasting. I wanted him to know, from my perspective, just how important he was in my life. He never really understood the profound impact that he had on the lives of other people –especially his family. Because of that humility, or perhaps in honor of it, I wanted to him know that he...
