Group Theoretic Analysis of Conformal Invariant Field Theories
نویسندگان
چکیده
منابع مشابه
Group Theoretical Approach to the Construction of Conformal Field Theories
A conformal field theory (CFT) is a quantum field theory which is invariant under conformal transformations; a group action that preserve angles but not necessarily lengths. There are two traditional approaches to the construction of CFTs: analyzing a statistical system near a critical point as a euclidean field theory, and in holographic duality within the context of string theory. This pedago...
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The appearance of quantum groups in conformal field theories is traced back to the Poisson-Lie symmetries of the classical chiral theory. A geometric quantization of the classical theory deforms the Poisson-Lie symmetries to the quantum group ones. This elucidates the fundamental role of chiral symmetries that quantum groups play in conformal models. As a byproduct, one obtains a more geometric...
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We describe a class of (2,2) superconformal field theories obtained by fibering a Landau-Ginzburg orbifold CFT over a compact Kähler base manifold. While such models are naturally obtained as phases in a gauged linear sigma model, our construction is independent of such an embedding. We discuss the general properties of such theories and present a technique to study the massless spectrum of the...
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The main result of this paper is the construction of a conformally covariant operator in two dimensions acting on scalar fields and containing fourth order derivatives. In this way it is possible to derive a class of Lagrangians invariant under conformal transformations. They define conformal field theories satisfying equations of the biharmonic type. Two kinds of these biharmonic field theorie...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 1986
ISSN: 0375-9687
DOI: 10.1143/ptps.86.192