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On conformal field theories
 in fourdimensions,” Nucl. Phys. B533
, 1998
"... We review the generalization of field theory to spacetime 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 ..."
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We review the generalization of field theory to spacetime 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
"... 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
, 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 ..."
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Cited by 2 (0 self)
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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 ∗
, 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 ..."
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Cited by 13 (0 self)
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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
, 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
ON THE CONFORMAL FIELD THEORY
, 1997
"... We study 1+1dimensional 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+1dimensional 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
The Logarithmic Conformal Field Theories
, 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 ..."
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Cited by 13 (0 self)
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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
Operator Algebras and Conformal Field Theory
 COMMUNICATIONS MATHEMATICAL PHYSICS
, 1993
"... We define and study twodimensional, 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 ..."
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Cited by 89 (2 self)
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We define and study twodimensional, 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
FORMS IN CONFORMAL FIELD THEORY
, 2008
"... These notes provide an extended version of lectures presented during the past three years in Sofia, Dubna, Trieste, Zlatibor and Göttingen. After a concise review of the notions of elliptic functions, modular forms, and ϑ–functions, we devote most of the paper to applications to Conformal Field Theo ..."
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Theory (CFT), introduced within the axiomatic framework of quantum field theory. Many features, believed to be peculiar to chiral 2D ( = two dimensional) CFT, are shown to have a counterpart in any globally conformal invariant theory in any (even) dimension. The treatment is based on a recently
Results 1  10
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1,642,673