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In theoretical physics, a 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 dimensions (and the central charge) are rational numbers that can be computed from the consistency conditions of conformal field theory. The most famous examples are the so-called minimal models.
More generally, rational conformal field theory can refer to any CFT with a finite number of primary operators with respect to the action of its chiral algebra. Chiral algebras can be much larger than the Virasoro algebra. Well-known examples include (the enveloping algebra of) affine Lie algebras, relevant to the Wess–Zumino–Witten model, and W-algebras.
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relation between Witten’s Topological Chern–Simons theory and the corresponding RationalConformalFieldTheory. This body of work was later used in mathematics...
In physics, Liouville fieldtheory (or simply Liouville theory) is a two-dimensional conformalfieldtheory whose classical equation of motion is a generalization...
theoretical physics, a logarithmic conformalfieldtheory is a conformalfieldtheory in which the correlators of the basic fields are allowed to be logarithmic...
to primary fields of a rational two-dimensional conformalfieldtheory, whose structure constants Nν λμ describe fusion of primary fields. In terms of...
Other relevant fields include game theory, Bayesianism, economics, and artificial intelligence. In its most common sense, rationality is the quality of...
A theory is a rational type of abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking...
the study of RationalConformalFieldTheory with extended chiral algebras. He also pioneered the use of methods of conformalfieldtheory to study compactifications...
dimensions known as M-theory. In late 1997, theorists discovered an important relationship called the anti-de Sitter/conformalfieldtheory correspondence (AdS/CFT...
Yang–Mills theories, but its gravity degrees of freedom gave rise to a version of conformal supergravity limiting its applicability; conformal gravity is...
generators are all conformal. The translation z → z + b is a change of origin and makes no difference to angle. To see that z → az is conformal, consider the...
In two-dimensional conformalfieldtheory, Virasoro conformal blocks (named after Miguel Ángel Virasoro) are special functions that serve as building blocks...
calculate with perfect accuracy and is in some sense fully rational. Prescriptive decision theory: Concerned with describing observed behaviors through the...
in particular the theory of conformal mappings, has many physical applications and is also used throughout analytic number theory. In modern times, it...
structure that plays an important role in two-dimensional conformalfieldtheory and string theory. In addition to physical applications, vertex operator...
for his work on Higher-spin theory and Conformalfieldtheory. Gaberdiel works on string theory and conformalfieldtheory. Recently he has mainly worked...
mathematical conformalfieldtheory and its relation to Schramm–Loewner evolution theory. "Probability methods in the theory of conformal mappings" (PDF)...
finally, since every rational number is the quotient of two integers, all rational numbers must be fixed by any automorphism. The field R {\displaystyle \mathbb...
{M}}'} . Minimal model (physics), two-dimensional conformalfieldtheory with finitely many primary fields. Minimal model (endocrinology), a mathematical...
The Riemann surface's conformal structure does, however, determine a class of metrics: all those whose subordinate conformal structure is the given one...
Langlands Program and ConformalFieldTheory". arXiv:hep-th/0512172. Gelfand, I. M. (1963), "Automorphic functions and the theory of representations",...
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