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...

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

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...

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...

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....

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

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

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...

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...

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...

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...

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...

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...

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

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

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

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...

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

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

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

important in two-dimensional conformal field theory and string theory. Note that by restricting n to 1,0,-1, one gets a subalgebra. Taken over the field of complex...

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

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

mathematics and theoretical physics, especially two-dimensional conformal field theory and the theory of exactly solvable models. Kac discovered an elegant...

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

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