منابع مشابه
2D 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...
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We develop both the gravity and field theory sides of the Karch-Randall conjecture that the near-horizon description of a certain D5-D3 brane configuration in string theory, realized as AdS5×S bisected by an AdS4×S “brane”, is dual to N = 4 Super Yang-Mills theory in R coupled to an R3 defect. We propose a complete Lagrangian for the field theory dual, a novel “defect superconformal field theor...
متن کاملOn 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 کاملHolography from Conformal Field Theory
The locality of bulk physics at distances below the AdS length scale is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length. In the CFT this implies a large-N expansion and a gap in the spectum of anomalous dimensions. We conjecture that the implication also runs in the other ...
متن کاملTopological Conformal Field Theories and Gauge Theories
This paper gives a construction, using heat kernels, of differential forms on the moduli space of metrised ribbon graphs, or equivalently on the moduli space of Riemann surfaces with boundary. The construction depends on a manifold with a bundle of Frobenius algebras, satisfying various conditions. These forms satisfy gluing conditions which mean they form an open topological conformal field th...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2004
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1745127