1,720,994 research outputs found
MODULAR INVARIANCE IN S3 SYMMETRIC 2D CONFORMAL FIELD-THEORIES
No full textUsing GKO construction, we conjecture a formula for the characters of highest weight irreducible representations of the algebra of conformal models having S3 symmetry with spin 4/3 parafermionic currents constructed by Fateev and Zamolodchikov. The modular transformations of these characters are given and modular invariant partition functions are classified. It turns out that an A-D-E classification similar to that found in conformal and N=1 superconformal theories holds. For the particular case of the tricritical 3-state Potts model the connection with Virasoro characters is given
RG flows of non-diagonal minimal models perturbed by ø1,3
No full textStudying perturbatively, for large m, the torus partition function of both (A, A) and (A, D) series of minimal models in the Cappelli, Itzykson, Zuber classification, deformed by the least relevant operator ø(1,3), we disentangle the structure of the ø1,3 flows. The results are conjectured on reasonable ground to be valid for all m. They show that (A, A) models always flow to (A, A) and (A, D) ones to (A, D). No hopping between the two series is possible. Also, we give arguments that there exists three isolated flows (E, A) → (A, E) that, together with the two series, should exhaust all the possible ø1,3 flows. Conservation (and symmetry breaking) of non-local currents along the flows is discussed and put in relation to the A, D, E classification. © 1992
Some considerations about local conservation laws in two-dimensional field theories
No full textTwo methods to generate infinite sets of local conservation laws in completely integrable two-dimensional models are shown to give the same collection of constants of motion. © 1982 Società Italiana di Fisica
Thermodynamic Bethe ansatz for Gk⊗Gl Gk+l coset models perturbed by their ø1,1,Adj operator
No full textWe propose a thermodynamic Bethe ansatz (TBA) for Gk⊗Gl Gk+l conformal coset models (G any simply-laced Lie algebra) perturbed by their operator ø1,1,Adj. An interesting adjancency structure appears and can be depicted in a sort of "product" of Dynkin diagrams of G and Ak+l-1. UV and IR limits are computed and reproduce the expected values for the central charges. For k→∞, l fixed we obtain the TBA of the Gl WZW model perturbed by JaJa, and for k,l→∞, k-l fixed, that of the principal chiral model with WZ term at level k-l. © 1992
Two-loop coupling constant renormalization in lattice SU(N)×SU(N) 2 D chiral models
No full textFor the most general link action of lattice SU(N)×SU(N) two dimensional chiral models, the two loop coupling constant renormalization is discussed in the context of the background field method. A non-linear reparametrization of the fields, necessary to keep the invariance of the theory, introduces unpleasant extra-terms. However some of the non-universal contributions are unaffected by these extra-terms and can be easily calculated. This allows to compute the difference between the first non-universal coefficients of the Callan-Symanzik beta function for two actions having the same scale Λ. © 1986 Springer-Verlag
AN INFINITE CLASS OF NEW CONFORMAL FIELD-THEORIES WITH EXTENDED ALGEBRAS
No full textA large class of 2D conformal field theories with extended Virasoro algebras related to the GKO construction on the coset SU(2)⊗SU(2)/SU(2) is introduced. Through a Feigin-Fuchs construction the Kac formula is deduced. Characters of the highest-weight irreducible representations are given in terms of the GKO decomposition branching functions. Modular invariant partition functions are constructed and an A-D-E classification based on a triple of simply-laced Lie algebras is analyzed in detail
Phase transitions in lattice 2 D O(N)σ-model with mixed action in the large N limit
No full textWe study the exact N→∞ solution of the two-dimensional lattice o(N) σ-model, described by a two parameter action that mixes Wilson (quadratic) and RPN-1≈O(N)/Z2 (quartic) actions. A rich phase structure emerges, with a first order transition line crossing, in the two-dimensional parameter space the RPN-1 axis. At the end of this line the specific-heat diverges while the correlation length remains finite. © 1987 Springer-Verlag
A new tool in the classification of rational conformal field theories
No full textThe fact that in any rational conformal field theory (RCFT) four-point function on the sphere must satisfy an ordinary differential equation gives a simple condition on the conformal dimensions of primary fields. We discuss how this can help in the classification program of RCFT. As an example all associative fusion rules with less than four non-trivial primary fields and Nijk ≤ 1 are discussed. Another application to the classification of chiral algebras is briefly mentioned. © 1989
GNXGL/GN+L CONFORMAL FIELD-THEORIES AND THEIR MODULAR INVARIANT PARTITION-FUNCTIONS
No full textWe study a Feigin-Fuchs construction of conformal field theories based on a coset space, in terms of screened bosons and parafermions. This allows to get the formula for the conformal dimensions of primary operators. Lists of modular invariant partition functions for the , and Wess-Zumino-Witten models are given.
Besides the principal series of diagonal invariants, a complementary series exists for and , which is due to the outer
automorphism of the Kac-Moody algebra. Moreover, exceptional solutions appear at level 5, 9, 21 for , at level 3, 7, 12 for and at level 3, 4 for . From these modular invariants, those for the corresponding models are constructed
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