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...

infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field...

granular, detailed dimension. Dimension tables are not conformed if the attributes are labeled differently or contain different values. Conformed dimensions come...

conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry...

In contrast to other types of conformal field theories, two-dimensional conformal field theories have infinite-dimensional symmetry algebras. In some cases...

orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property...

Roger Penrose) is a two-dimensional diagram capturing the causal relations between different points in spacetime through a conformal treatment of infinity...

transformations that preserve the conformal geometry of the space. Several specific conformal groups are particularly important: The conformal orthogonal group. If...

central extension of the Witt algebra. It is widely used in two-dimensional conformal field theory and in string theory. The Virasoro algebra is spanned...

conformal transformations, an energy eigenvector with momentum α {\displaystyle \alpha } transforms as a primary field with the conformal dimension Δ...

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 >...

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...

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...

In two-dimensional conformal field theory, Virasoro conformal blocks (named after Miguel Ángel Virasoro) are special functions that serve as building blocks...

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...

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...

\varphi e^{k\omega }.} Thus conformally weighted quantities belong to certain density bundles; see also conformal dimension. Let A μ {\displaystyle A_{\mu...

Zee 2010. Conformal field theories are characterized by their invariance under conformal transformations. For an introduction to conformal field theory...

mathematical physics, the conformal symmetry of spacetime is expressed by an extension of the Poincaré group, known as the conformal group; in layman's terms...

critical dimension was 10. Stanley Mandelstam formulated a world sheet conformal theory for both the bose and fermi case, giving a two-dimensional field...

Francesco; Pierre Mathieu; David Sénéchal (1997). Conformal field theory. New York: Springer. In the conformal field theory nomenclature, this theory is the...

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...

The conformal bootstrap is a non-perturbative mathematical method to constrain and solve conformal field theories, i.e. models of particle physics or statistical...

conformal anomaly on the worldsheet; it is 26 for the bosonic string theory and 10 for superstring theory. Determining the upper critical dimension of...

In conformal geometry, a conformal Killing vector field on a manifold of dimension n with (pseudo) Riemannian metric g {\displaystyle g} (also called...

Massless free scalar bosons are a family of two-dimensional conformal field theories, whose symmetry is described by an abelian affine Lie algebra. Since...

equilibrium critical exponents can be computed from conformal field theory. See also anomalous scaling dimension. Critical exponents also exist for self organized...

a super conformal field theory the conformal dimension of a chiral multiplet is entirely determined by its R-charge, and so these conformal dimensions...

tensor is also called the conformal tensor. It follows that a necessary condition for a Riemannian manifold to be conformally flat is that the Weyl tensor...

McMullen, Curtis T. (3 October 1997). "Hausdorff dimension and conformal dynamics III: Computation of dimension", Abel.Math.Harvard.edu. Accessed: 27 October...