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A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions , there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified.
While a CFT might conceivably exist only on a given Riemann surface, its existence on any surface other than the sphere implies its existence on all surfaces. [1] [2] Given a CFT, it is indeed possible to glue two Riemann surfaces where it exists, and obtain the CFT on the glued surface. [1] [3] On the other hand, some CFTs exist only on the ...
The three-state Potts CFT, also known as the parafermion CFT, is a conformal field theory in two dimensions. It is a minimal model with central charge c = 4 / 5 {\displaystyle c=4/5} . It is considered to be the simplest minimal model with a non-diagonal partition function in Virasoro characters , as well as the simplest non-trivial CFT with ...
The corresponding classical equation of motion is the sinh-Gordon equation. The model can be viewed as a perturbation of Liouville theory. The model's exact S-matrix is known in the weak coupling regime < <, and it is formally invariant under . However, it has been argued that the model itself is not invariant.
In theoretical physics, a logarithmic conformal field theory is a conformal field theory in which the correlators of the basic fields are allowed to be logarithmic at short distance, instead of being powers of the fields' distance.
In molecular physics, crystal field theory (CFT) describes the breaking of degeneracies of electron orbital states, usually d or f orbitals, due to a static electric field produced by a surrounding charge distribution (anion neighbors).
The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations.
In > dimensions, superconformal primaries are annihilated by and by the fermionic generators (one for each supersymmetry generator). Generally, each superconformal primary representations will include several primaries of the conformal algebra, which arise by acting with the supercharges Q {\displaystyle Q} on the superconformal primary.