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On conformal field theories

by Michael R. Douglas, Nikita A. Nekrasov - in fourdimensions,” Nucl. Phys. B533 , 1998
"... We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last ..."
Abstract - Cited by 365 (0 self) - Add to MetaCart
We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states

conformal field theory

by Nils Carqueville, Math-ph/ Synopsis, Nils Carqueville Synopsis, Nils Carqueville Synopsis, Nils Carqueville Synopsis
"... conformal field theory □ vertex operator algebras... Nils CarquevilleSynopsis conformal field theory □ vertex operator algebras...... and related structures ..."
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conformal field theory □ vertex operator algebras... Nils CarquevilleSynopsis conformal field theory □ vertex operator algebras...... and related structures

Subfactors and Conformal Field Theory

by David E. Evans , 1992
"... Abstract. We discuss relations between the combinatorial structure of subfactors, solvable lattice models, (rational) conformal field theory, and topological quantum field theory. Key words: conformal field theory, modular automorphism group, modular invariant, orbifold construction, statistical mec ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
Abstract. We discuss relations between the combinatorial structure of subfactors, solvable lattice models, (rational) conformal field theory, and topological quantum field theory. Key words: conformal field theory, modular automorphism group, modular invariant, orbifold construction, statistical

Boundary Conformal Field Theory ∗

by John Cardy, Rudolf Peierls, Centre Theoretical Physics , 2008
"... Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of CFT appear in a more straightforward manner; and because it ..."
Abstract - Cited by 13 (0 self) - Add to MetaCart
Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of CFT appear in a more straightforward manner; and because

ON DEFORMATIONS OF CONFORMAL FIELD THEORIES

by Igor Kriz, Hao Xing , 2006
"... 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 w ..."
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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

Applied Conformal Field Theory

by Paul Ginsparg , 1988
"... ..."
Abstract - Cited by 127 (0 self) - Add to MetaCart
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The Logarithmic Conformal Field Theories

by M. R. Rahimi Tabar, A. Aghamohammadi, M. Khorrami , 1996
"... We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two-- and three-- point functions. This calculation is done for the general case of more than one logarithmic field in a block, and more than one set of logarithm ..."
Abstract - Cited by 13 (0 self) - Add to MetaCart
We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two-- and three-- point functions. This calculation is done for the general case of more than one logarithmic field in a block, and more than one set

ON THE CONFORMAL FIELD THEORY

by Of The, Higgs Branch , 1997
"... We study 1+1-dimensional theories of vector and hypermultiplets with (4, 4) supersymmetry. Despite strong infrared fluctuations, these theories flow in general to distinct conformal field theories on the Coulomb and Higgs branches. In some cases there is a quantum Higgs theory even when there is no ..."
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We study 1+1-dimensional theories of vector and hypermultiplets with (4, 4) supersymmetry. Despite strong infrared fluctuations, these theories flow in general to distinct conformal field theories on the Coulomb and Higgs branches. In some cases there is a quantum Higgs theory even when

Operator Algebras and Conformal Field Theory

by Fabrizio Gabbiani, Jϋrg Frόhlich - COMMUNICATIONS MATHEMATICAL PHYSICS , 1993
"... 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 typ ..."
Abstract - Cited by 89 (2 self) - Add to MetaCart
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

Snapshots of Conformal Field Theory

by Katrin Wendland
"... Abstract In snapshots, this exposition introduces conformal field theory, with a focus on those perspectives that are relevant for interpreting superconformal field theory by Calabi-Yau geometry. It includes a detailed discussion of the elliptic genus as an invariant which certain superconformal fi ..."
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Abstract In snapshots, this exposition introduces conformal field theory, with a focus on those perspectives that are relevant for interpreting superconformal field theory by Calabi-Yau geometry. It includes a detailed discussion of the elliptic genus as an invariant which certain superconformal
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