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Irrational conformal field theory - In theoretical physics, irrational conformal field theory is a conformal field theory that is not a rational conformal field theory. It means that the conformal weights of its primary fields and the central charge are irrational numbers which makes the theory harder to solve and understand.

Rational conformal field theory - In theoretical physics, rational conformal field theory is a special type of 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.

Conformal field theory - A conformal field theory is a quantum field theory (or statistical mechanics model at the critical point) that is invariant under the conformal group. Conformal field theory is most often studied in two dimensions where there is a large group of local conformal transformations coming from holomorphic functions.

Coset conformal field theory - In theoretical physics, a coset conformal field theory is a conformal field theory that describes the degrees of freedom not included in a smaller conformal field theory H but included in a bigger conformal field theory G. The coset is called G/H and its stress-energy tensor is a difference of ...

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