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"These proceedings contain the lecture notes of the topics covered during the Summer School as well as the contributions from the Workshop. The first week saw discussions on the phenomenological aspects of particle physics, aspects of CP violation, the implications of precision electroweak experiments, new developments of perturbative QCD, physics beyond the standard model, and the implications of the minimal supersymmetric model and its string motivation. The second week of the School was dedicated to more formal aspects of particle physics including quantum groups and quantum spaces, calculations of loops and anomalies using supersymmetric path integrals, a new description of superstrings, integrable models and a review on the quantum mechanics of black holes."--Publisher's website.
These proceedings contain the lecture notes of the topics covered during the Summer School as well as the contributions from the Workshop. The first week saw discussions on the phenomenological aspects of particle physics, aspects of CP violation, the implications of precision electroweak experiments, new developments of perturbative QCD, physics beyond the standard model, and the implications of the minimal supersymmetric model and its string motivation. The second week of the School was dedicated to more formal aspects of particle physics including quantum groups and quantum spaces, calculations of loops and anomalies using supersymmetric path integrals, a new description of superstrings, integrable models and a review on the quantum mechanics of black holes.
This volume contains the lecture notes of the VI J A S Summer School. The topics covered are particle physics phenomenology, dynamical symmetry breaking, conformal theory.
The first part of this two-part work is intended as an introduction to the fundamentals, while the second part discusses applications from the point of view of the researcher. Lively illustrations and informative tables, an overview at the beginning of each chapter and exercises with solutions make this book a valuable resource.
The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.
This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .
This book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical community that the best way to study the representation theory of affine Kac–Moody algebras is by investigating the representation theory of the associated affine vertex and W-algebras. In this volume, this general idea can be seen at work from several points of view. Most relevant state of the art topics are covered, including fusion, relationships with finite dimensional Lie theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and W-algebras, held in Rome from 11 to 15 December 2017. It will be of interest to all researchers in the field.
This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics. Of particular interest are the relations between Laplacian growth and the infinite-size limit of ensembles of random matrices with complex eigenvalues; integrable hierarchies of differential equations and their spectral curves; classical and stochastic Löwner evolution and critical phenomena in two-dimensional statistical models; weak solutions of hyperbolic partial differential equations of singular-perturbation type; and resolution of singularities for compact Riemann surfaces with anti-holomorphic involution. The book also provides an abundance of exact classical solutions, many explicit examples of dynamics by conformal mapping as well as a solid foundation of potential theory. An extensive bibliography covering over twelve decades of results and an introduction rich in historical and biographical details complement the eight main chapters of this monograph. Given its systematic and consistent notation and background results, this book provides a self-contained resource. It is accessible to a wide readership, from beginner graduate students to researchers from various fields in natural sciences and mathematics.
The Jorge André Swieca Summer School is a traditional school in Latin America well known for the high level of its courses and lecturers. This book contains lectures on forefront areas of high energy physics, such as collider physics, neutrino phenomenology, noncommutative field theory, string theory and branes.