A two-dimensional conformal field theory is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations...

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

Sitter/conformal field theory correspondence (frequently abbreviated as AdS/CFT) is a conjectured relationship between two kinds of physical theories. On...

superalgebra Lie supergroup Two-dimensional conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra...

called a Wess–Zumino–Novikov–Witten model, is a type of two-dimensional conformal field theory named after Julius Wess, Bruno Zumino, Sergei Novikov and...

presence of long-range background fields (such as gauge fields) are encoded in a two-dimensional conformal field theory defined on the worldsheet. For example...

2-dimensional boundary of a 3-manifold is closely related to fusion rules and conformal blocks in conformal field theory, and in particular WZW theory....

In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization...

Also, the worldsheet in string theory is described by a two-dimensional conformal field theory coupled to two-dimensional gravity. Physicists have found...

rational conformal field theory is a special type of two-dimensional conformal field theory with a finite number of conformal primaries. In these theories, all...

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

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 Virasoro. The...

algebraic structure that plays an important role in two-dimensional conformal field theory and string theory. In addition to physical applications, vertex operator...

Polyakov AM; Zamolodchikov AB (1984). "Infinite conformal symmetry in two-dimensional quantum field theory". Nucl. Phys. B. 241 (2): 333–80. Bibcode:1984NuPhB...

means of a two-dimensional conformal field theory associated with the worldsheet. The formalism of two-dimensional conformal field theory also has many...

anomalies such as the gravitational anomalies. Equivalently, in two-dimensional conformal field theory the torus partition function must be invariant under the...

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...

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 fields can be...

interpreted as a structure underlying a two-dimensional conformal field theory, allowing physics to form a bridge between two mathematical areas. The conjectures...

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...

quantum field theory to admit topological (gapped) boundary conditions. Charge (physics) Conformal anomaly Two-dimensional conformal field theory Vertex...

needed] His thesis was titled A Geometrical Approach to Two Dimensional Conformal Field Theory.[non-primary source needed] For a few years he worked as...

in quantum field theory, where it is called the Euclidean bosonic massless free field. A key property of the 2-dimensional GFF is conformal invariance...

{\displaystyle \Upsilon _{b}} appear in correlation functions of two-dimensional conformal field theory, with the parameter b {\displaystyle b} being related to...

the symmetry algebra of two-dimensional conformal field theory. Diffeomorphism groups of compact manifolds of larger dimension are regular Fréchet Lie...

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

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

{\displaystyle T} . Minimal model (physics), two-dimensional conformal field theory with finitely many primary fields. Minimal model (endocrinology), a mathematical...

and in particular for research on critical phenomena and two-dimensional conformal field theory. He was an undergraduate and postgraduate student (now an...

phenomenon known as asymptotic freedom.: 531  Conformal field theories (CFTs) are special QFTs that admit conformal symmetry. They are insensitive to changes...