Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. Reading list and book recommendation on conformal field theory. Lectures on quasiconformal mappings university lecture. The many exercises, with a wide spectrum of difficulty and subjects. It covers the basics of cft in the first 3 chapters and then in the remaining 3 it goes on to introduce the cft concepts that will appear most frequently in string theory. This book describes, in clear terms, the why, what and the how of quantum field theory. The book develops a novel approach to perturbative quantum field theory.
The term conformal field theory has sometimes been used with the meaning of twodimensional conformal field theory, as in the title of a 1997 textbook. The raison detre of qft is explained by starting from the dynamics of. The aim of this book is to provide the reader with an introduction to conformal field theory and its applications to topology. Starting from an arbitrary n 2 superconformal field theory it is described how a fully consistent, spacetime. The aim is not to replace formal books on quantum field theory, but rather to offer. Full text of new superconformal field theories in four. A catalogue record for this book is available from the british library. By means of the holonomy of conformal field theory he defines topological invariants for knots and 3manifolds. The author starts with a description of geometric aspects of conformal field theory based on loop groups.
I would recommend the book introduction to conformal field theory by blumenhagen and plauschinn. We present some new exact results for general fourdimensional superconformal field theories. In two dimensions, there is an infinitedimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified conformal field theory has important applications to condensed matter physics, statistical mechanics, quantum. This book uses less strict yet still formal mathematical language to clarify a. Renormalizable models in rank tensorial group field theory. We derive differential equations governing the coupling constant dependence of chiral primary correlators. In fact, it can be said to be one of the greatest achievements in the development of this field. Superconformal field theory and noncommutative geometry yasu kawahigashi university of tokyo nashville, may 5, 2012 yasu kawahigashi tokyo scft and ncg nashville, 552012 1 17.
Nahm university of bonn physics institute nussallee 12, d53115 bonn, germany abstract since 70 years, quantum eld. It introduce the theory of conformal fields in a really pedagogical way so that any person not familiar at all with the subject can enjoy it. An archive of recordings of the lectures at the 2014 berkeley workshop on mathematical aspects of the 2,0 superconformal field theory, organised by harri. Concepts in quantum field theory a practitioners toolkit victor. It is quite sort and can serve as a perfect introduction to cft. Buy lectures on quasiconformal mappings university lecture series 2rev ed by lars v. The treatment is selfcontained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, lie algebras and. Conformal field theory philippe francesco springer. If any n conformal fields are simply ex pressed as oji i.
A conformal field theory cft is a quantum field theory that is invariant under conformal transformations. Superconformal field theory and noncommutative geometry. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and. The treatment is selfcontained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, lie algebras and affine lie algebras. Classes of renormalizable models in the tensorial group field theory framework are investigated. Read download conformal field theory pdf pdf download. Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. Everyday low prices and free delivery on eligible orders. This book can be used as a textbook on quantum field theory for students of physics or as a monograph for philosophers and physicists interested.
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