C - algebras and their applications to reflection groups and conformal field theories

نویسنده

  • J.-B Zuber
چکیده

The aim of this lecture is to present the concept of C-algebra and to illustrate its applications in two contexts: the study of reflection groups and their folding on the one hand, the structure of rational conformal field theories on the other. For simplicity the discussion is restricted to finite Coxeter groups and conformal theories with a sl(2) current algebra, but it may be extended to a larger class of groups and theories associated with sl(N).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

DEVELOPMENT IN STRING THEORY

The string theory is a fast moving subject, both physics wise and in the respect of mathematics. In order to keep up with the discipline it is important to move with new ideas which are being stressed. Here I wish to give extracts from new papers of ideas which I have recently found interesting. There are six papers which are involved: I ."Strings formulated directly in 4 dimensions " A. N...

متن کامل

6 O ct 1 99 8 ALGEBRAIC COSET CONFORMAL FIELD THEORIES

All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary Coset Conformal Field Theories, i.e., gauged Wess-ZuminoWitten (WZW) models with compact gauge groups. In this paper we use subfactor theory and ideas of algebraic Quantum Field Theory (QFT) to approach Coset Conformal Field Theories. Two main conjectures are formulated and their consequences are discu...

متن کامل

Conformal Field Theories

All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary coset Conformal Field Theories, i.e., gauged Wess-ZuminoWitten (WZW) models with compact gauge groups. In this paper we use subfactor theory and ideas of algebraic quantum field theory to approach coset Conformal Field Theories. Two conjectures are formulated and their consequences are discussed. Some ...

متن کامل

Field identifications in coset conformal theories from projection matrices.

We demonstrate the usefulness of projection matrices for finite subalgebras h c 3 and their affine counterparts h c i in finding field identifications (and selection rules) in coset conformal field theories. Submitted to Phys. Lett. B. * Work supported by the U.S. Department of Energy under Contract DE-AC0376SF00515. Address after September 1, 1989: Newman Laboratory of Nuclear Studies, Cornell...

متن کامل

N ov 1 99 2 Universität Bonn Physikalisches Institut Automorphisms of W - Algebras and Extended Rational Conformal Field Theories

Many extended conformal algebras with one generator in addition to the Virasoro field as well as Casimir algebras have non-trivial outer automorphisms which enables one to impose ‘twisted’ boundary conditions on the chiral fields. We study their effect on the highest weight representations. We give formulae for the enlarged rational conformal field theories in both series of W-algebras with two...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997