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The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearence of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface. This book is an important text for researchers and graduate students.

Conformal invariants. --- Quantum field theory --- Mathematical physics --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Mathematical physics. --- Quantum field theory. --- Quantum physics. --- Quantum computers. --- Spintronics. --- Quantum Physics. --- Quantum Information Technology, Spintronics. --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology --- Computers --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Conformal invariance --- Invariants, Conformal --- Conformal mapping --- Functions of complex variables

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The essays in this topical volume inquire into one of the most fundamental issues of philosophy and the cognitive and natural sciences: the riddle of time. The central feature is the tension between the experience and the conceptualization of time, reflecting an apparently unavoidable antinomy of subjective first-person accounts and objective traditional science. Is time based in the physics of inanimate matter, or does it originate in the operation of our minds? Is it essential for the constitution of reality, or is it just an illusion? Issues of time, temporality, and nowness are paradigms for interdisciplinary work in many contemporary fields of research. The authors of this volume discuss profoundly the mutual relationships and inspiring perspectives. They address a general audience with academic background knowledge.

Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Space and time. --- Time --- Physics. --- Cognition. --- Philosophy. --- Statistical physics. --- Dynamical systems. --- Quantum computers. --- Spintronics. --- Quantum physics. --- Gravitation. --- Neurology . --- Complex Systems. --- Quantum Information Technology, Spintronics. --- Quantum Physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Neurology. --- Statistical Physics and Dynamical Systems. --- Medicine --- Nervous system --- Neuropsychiatry --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology --- Computers --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Mathematical statistics --- Diseases --- Properties --- Statistical methods --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Beginning --- Hyperspace