EPFL lectures on conformal field theory in \(D \geq 3\) dimensions.

*(English)*Zbl 1365.81007
SpringerBriefs in Physics. Cham: Springer (ISBN 978-3-319-43625-8/pbk; 978-3-319-43626-5/ebook). xii, 72 p. (2017).

The book arises from EPFL lectures carried out in 2012. It amounts to 4 chapters along 72 pages. The chapters include 1) Physical Foundations of Conformal Theory, 2) Conformal Kinematics, 3) Radial Quantization and Operator Product Expansion (OPE), and a introduction to 4) Conformal Boostrap.

The book is certainly not for outsiders, but certainly recommended for students which are interested in Conformal Field Theory. The format and presentation might not be classified as introductory, but it is well exposed, well written, and contains the argumentation in the level of its necessity.

In the way the book was idealized, the methods computing operator dimensions and correlation functions are fully developed. The first two chapters deal with the appropriated correlation functions as sort of averages, related to local operators. Chapter three develops another framework, this time working with quantum mechanical evolution of Hilbert space vector states.

At the final of every chapter there is a good list of references, complemented with a short but helper comment.

The book is certainly not for outsiders, but certainly recommended for students which are interested in Conformal Field Theory. The format and presentation might not be classified as introductory, but it is well exposed, well written, and contains the argumentation in the level of its necessity.

In the way the book was idealized, the methods computing operator dimensions and correlation functions are fully developed. The first two chapters deal with the appropriated correlation functions as sort of averages, related to local operators. Chapter three develops another framework, this time working with quantum mechanical evolution of Hilbert space vector states.

At the final of every chapter there is a good list of references, complemented with a short but helper comment.

Reviewer: J. M. Hoff da Silva (GuaratinguetĂˇ)