منابع مشابه
W - Algebras in Conformal Field
Quantum W-algebras are deened and their relevance for conformal eld theories is outlined. We describe direct constructions of W-algebras using associativity requirements. With this approach one explicitly obtains the rst members of series of W-algebras, including in particular`Casimir algebras' (related to simple Lie algebras) and extended symmetry algebras corresponding to special Virasoro-min...
متن کاملQuantum Conformal Algebras and Closed Conformal Field Theory
We investigate the quantum conformal algebras of N=2 and N=1 supersymmetric gauge theories. Phenomena occurring at strong coupling are analysed using the Nachtmann theorem and very general, model-independent, arguments. The results lead us to introduce a novel class of conformal field theories, identified by a closed quantum conformal algebra. We conjecture that they are the exact solution to t...
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We define and study two-dimensional, chiral conformal field theory by the methods of algebraic field theory. We start by characterizing the vacuum sectors of such theories and show that, under very general hypotheses, their algebras of local observables are isomorphic to the unique hyperfinite type III1 factor. The conformal net determined by the algebras of local observables is proven to satis...
متن کاملConformal Field Theories, Graphs and Quantum Algebras
This article reviews some recent progress in our understanding of the structure of Rational Conformal Field Theories, based on ideas that originate for a large part in the work of A. Ocneanu. The consistency conditions that generalize modular invariance for a given RCFT in the presence of various types of boundary conditions –open, twisted– are encoded in a system of integer multiplicities that...
متن کاملThe associative algebras of conformal field theory
Modulo the ideal generated by the derivative fields, the normal ordered product of holomorphic fields in two-dimensional conformal field theory yields a commutative and associative algebra. The zero mode algebra can be regarded as a deformation of the latter. Alternatively, it can be described as an associative quotient of the algebra given by a modified normal ordered product. We clarify the r...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1991
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02102042