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. … Completeness, the extremely clear exposition and well-chosen references at the end of each chapter make this introduction an unmissable reference for the mathematician aiming to learn the basics of conformal field theory.” (Domenico Fiorenza, Mathematical Reviews, Issue 2011 a), Conformal Transformations and Conformal Killing Fields, Central Extensions of Lie Algebras and Bargmann’s Theorem, Representation Theory of the Virasoro Algebra, String Theory as a Conformal Field Theory, Axioms of Relativistic Quantum Field Theory, Foundations of Two-Dimensional Conformal Quantum Field Theory, Mathematical Aspects of the Verlinde Formula. 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.The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. Not affiliated We have a dedicated site for France. © 2020 Springer Nature Switzerland AG. Over 10 million scientific documents at your fingertips. Lecture Notes in Physics Furthermore, two new chapters on Wightman's axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. (Werner Kleinert, Zentralblatt MATH, Vol. A Mathematical Introduction to Conformal Field Theory (Lecture Notes in Physics) by Martin Schottenloher (2010-11-23) A Mathematical Introduction to Conformal Field Theory: Based on a Series of Lectures given at the Mathematisches Institut der Universität Hamburg (Lecture Notes in Physics Monographs (43)) 1161, 2009), “The second edition of this classical introduction to conformal field theory for a mathematically oriented audience has been substantially revised and expanded … . 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. Springer is part of, Theoretical, Mathematical & Computational Physics, Please be advised Covid-19 shipping restrictions apply. A Mathematical Introduction to Conformal Field Theory Martin Schottenloher 2 nd revised and substantially enlarged edition. 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.The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. many new examples and statements have been included throughout the whole text. price for Spain An outlook making the connection with most recent developments has also been added. Please review prior to ordering, ebooks can be used on all reading devices, Institutional customers should get in touch with their account manager, Usually ready to be dispatched within 3 to 5 business days, if in stock, The final prices may differ from the prices shown due to specifics of VAT rules. In particular, the conformal groups are determined and the appearance 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. CYBER DEAL: 50% off all Springer eBooks | Get this offer! 144.217.205.64, https://doi.org/10.1007/978-3-540-68628-6, Conformal Transformations and Conformal Killing Fields, Central Extensions of Lie Algebras and Bargmann’s Theorem, Representation Theory of the Virasoro Algebra, String Theory as a Conformal Field Theory, Axioms of Relativistic Quantum Field Theory, Foundations of Two-Dimensional Conformal Quantum Field Theory, Mathematical Aspects of the Verlinde Formula. It seems that you're in France. i. A Mathematical Introduction to Conformal Field Theory (Lecture Notes in Physics) by Martin Schottenloher (2010-11-23) A Mathematical Introduction to Conformal Field Theory: Based on a Series of Lectures given at the Mathematisches Institut der Universität Hamburg (Lecture Notes in Physics Monographs (43))

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