منابع مشابه
On bosonization of 2d conformal field theories
We show how bosonic (free field) representations for so-called degenerate conformal theories are built by singular vectors in Verma modules. Based on this construction, general expressions of conformal blocks are proposed. As an example we describe new modules for the SL(2) Wess-Zumino -Witten model. They are, in fact, the simplest non-trivial modules in a full set of bosonized highest weight r...
متن کامل2D Conformal Field Theories and Holography
It is known that the chiral part of any 2d conformal field theory defines a 3d topological quantum field theory: quantum states of this TQFT are the CFT conformal blocks. The main aim of this paper is to show that a similar CFT/TQFT relation exists also for the full CFT. The 3d topological theory that arises is a certain “square” of the chiral TQFT. Such topological theories were studied by Tur...
متن کاملBosonization and Iterative Relations Beyond Field Theories
Solitons can be well described by the Lagrange formalism of effective field theories. But usually mass and coupling constants constitute phenomenological dimensions without any relation to the topological processes. This paper starts with a two-spinor Dirac equation in radial symmetry including vector Coulomb and scalar Lorentz potentials, and arrives after bosonization at the sine-Gordon equat...
متن کاملOn Deformations of Conformal Field Theories
Recently, there has been substantial interest in mathematics in the conjectured moduli space of conformal field theories. The purpose of this paper is to investigate this space by what is known as perturbative methods. First, however, it is important to note that the moduli space itself is not yet well defined. There are different definitions of conformal field theory, for example the Segal app...
متن کاملConformal 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 ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1995
ISSN: 0550-3213
DOI: 10.1016/0550-3213(94)00340-k