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...

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

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...

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...

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...

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

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...

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

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

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

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...

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

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

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...

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...

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

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

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...

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

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...

fields of a rational two-dimensional conformal field theory, whose structure constants Nν λμ describe fusion of primary fields. In the context of modular...

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