In mathematics, the conformal dimension of a metric space X is the infimum of the Hausdorff dimension over the conformal gauge of X, that is, the class...
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granular, detailed dimension. Dimension tables are not conformed if the attributes are labeled differently or contain different values. Conformed dimensions come...
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In contrast to other types of conformal field theories, two-dimensional conformal field theories have infinite-dimensional symmetry algebras. In some cases...
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infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field...
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Penrose diagram (redirect from Conformal infinity)
Roger Penrose) is a two-dimensional diagram capturing the causal relations between different points in spacetime through a conformal treatment of infinity...
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in 1850, is a rigidity theorem about conformal mappings in Euclidean space. It states that every smooth conformal mapping on a domain of Rn, where n >...
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orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property...
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conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry...
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transformations that preserve the conformal geometry of the space. Several specific conformal groups are particularly important: The conformal orthogonal group. If...
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Virasoro algebra (category Conformal field theory)
central extension of the Witt algebra. It is widely used in two-dimensional conformal field theory and in string theory. It is named after Miguel Ángel...
23 KB (4,140 words) - 21:04, 24 May 2025
In two-dimensional conformal field theory, Virasoro conformal blocks (named after Miguel Ángel Virasoro) are special functions that serve as building blocks...
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A conformal anomaly, scale anomaly, trace anomaly or Weyl anomaly is an anomaly, i.e. a quantum phenomenon that breaks the conformal symmetry of the classical...
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Zee 2010. Conformal field theories are characterized by their invariance under conformal transformations. For an introduction to conformal field theory...
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Liouville field theory (category Conformal field theory)
physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization...
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definition of one of the core concepts of Kimball's approach to dimensional modeling conformed dimension. The bus matrix defines part of the data warehouse bus...
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Wess–Zumino–Witten model (redirect from Coset conformal field theory)
also called a Wess–Zumino–Novikov–Witten model, is a type of two-dimensional conformal field theory named after Julius Wess, Bruno Zumino, Sergei Novikov...
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equilibrium critical exponents can be computed from conformal field theory. See also anomalous scaling dimension. Critical exponents also exist for self organized...
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The two-dimensional critical Ising model is the critical limit of the Ising model in two dimensions. It is a two-dimensional conformal field theory whose...
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In conformal geometry, a conformal Killing vector field on a manifold of dimension n with (pseudo) Riemannian metric g {\displaystyle g} (also called...
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Primary field (category Conformal field theory)
of two-dimensional conformal field theory. This terminology is now used both for D=2 and D>2. In d > 2 {\displaystyle d>2} dimensions conformal primary...
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a super conformal field theory the conformal dimension of a chiral multiplet is entirely determined by its R-charge, and so these conformal dimensions...
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W-algebra (category Conformal field theory)
W ( h ) ( z ) {\displaystyle W^{(h)}(z)} is a primary field of conformal dimension h ∈ 1 2 N ∗ {\displaystyle h\in {\frac {1}{2}}\mathbb {N} ^{*}} ...
32 KB (5,488 words) - 01:15, 10 July 2025
Francesco; Pierre Mathieu; David Sénéchal (1997). Conformal field theory. New York: Springer. In the conformal field theory nomenclature, this theory is the...
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Weyl transformation (category Conformal geometry)
\varphi e^{k\omega }.} Thus conformally weighted quantities belong to certain density bundles; see also conformal dimension. Let A μ {\displaystyle A_{\mu...
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conformal group. Conformal symmetry encompasses special conformal transformations and dilations. In three spatial plus one time dimensions, conformal...
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James W. Cannon (section 1990s and 2000s: Automatic groups, discrete conformal geometry and Cannon's conjecture)
finite subdivision rules. I. Conformal Geometry and Dynamics, vol. 10 (2006), pp. 63–99. M. Bourdon and H. Pajot, Quasi-conformal geometry and hyperbolic geometry...
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even a conformal map. The plane itself is homeomorphic (and diffeomorphic) to an open disk. For the hyperbolic plane such diffeomorphism is conformal, but...
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Riemann surface (redirect from Conformal invariant)
metrics on X is the additional datum of the conformal structure. A complex structure gives rise to a conformal structure by choosing the standard Euclidean...
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String theory (redirect from 10th dimension)
critical dimension was 10. Stanley Mandelstam formulated a world sheet conformal theory for both the bose and fermi case, giving a two-dimensional field...
122 KB (15,298 words) - 19:57, 8 July 2025
McMullen, Curtis T. (3 October 1997). "Hausdorff dimension and conformal dynamics III: Computation of dimension", Abel.Math.Harvard.edu. Accessed: 27 October...
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