Fermionic Coset Realization of Primaries in Critical Statistical Models
نویسنده
چکیده
We obtain a fermionic coset realization of the primaries of minimal unitary models and show how their four-point functions may be calculated by the use of a reduction formula. We illustrate the construction for the Ising model, where we obtain an explicit realization of the energy operator, Onsager fermions, as well as of the order and disorder operators realizing the dual algebra, in terms of constrained Dirac fermions. The four-point correlators of these operators are shown to agree with those obtained by other methods. On leave of absence from the Universidad Nacional de La Plata, Argentina
منابع مشابه
Fermionic Coset Models as Topological Models
By considering the fermionic realization of G/H coset models, we show that the partition function for the U(1)/U(1) model defines a Topological Quantum Field Theory and coincides with that for a 2dimensional Abelian BF system. In the non-Abelian case, we prove the topological character of G/G coset models by explicit computation, also finding a natural extension of 2-dimensional BF systems with...
متن کاملFermionic coset realization of the critical Ising model.
We obtain an explicit realization of all the primary fields of the Ising model in terms of a conformal field theory of constrained fermions. The four-point correlators of the energy, order and disorder operators are explicitly calculated. ∗On leave of absence from the Universidad Nacional de La Plata, Argentina
متن کاملType IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
We construct the covariant κ-symmetric superstring action for type IIB superstring on plane wave space supported by Ramond-Ramond background. The action is defined as a 2d sigma-model on the coset superspace. We fix the fermionic and bosonic light-cone gauges in the covariant Green-Schwarz superstring action and find the light-cone string Lagrangian and the Hamiltonian. The resulting light-cone...
متن کاملBosonization of a Topological Coset Model and Non-critical String Theory
We analyze the relation between a topological coset model based on super SL(2, R)/U(1) coset and non-critical string theory by using free field realization. We show that the twisted N = 2 algebra of the coset model can be naturally transformed into that of noncritical string. The screening operators of the coset models can be identified either with those of the minimal matters or with the cosmo...
متن کاملPolynomial Fermionic Forms for the Branching Functions of the Rational Coset Conformal Field Theories ŝu(2)M × ŝu(2)N/ŝu(2)M+N
General fermionic expressions for the branching functions of the rational coset conformal field theories ŝu(2)M × ŝu(2)N/ŝu(2)M+N are given. The equality of the bosonic and fermionic representations for the branching functions is proven by introducing polynomial truncations of these branching functions which are the configuration sums of the RSOS models in regime III. The path space interpretat...
متن کامل