Form factors of exponential fields for two-parametric family of integrable models

A two-parametric family of integrable models (the SS model) that contains as particular cases several well known integrable quantum field theories is considered. After the quantum group restriction it describes a wide class of integrable perturbed conformal field theories. Exponential fields in the SS model are closely related to the primary fields in these perturbed theories. We use the bosonization approach to derive an integral representation for the form factors of the exponential fields in the SS model. The same representations for the sausage model and the cosine-cosine model are obtained as limiting cases. The results are tested at the special points, where the theory contains free particles.Comment: 37 pages, 3 figures; some misprints corrected; Eq. (B.12b) correcte

Instanton moduli spaces and bases in coset conformal field theory

Recently proposed relation between conformal field theories in two dimensions and supersymmetric gauge theories in four dimensions predicts the existence of the distinguished basis in the space of local fields in CFT. This basis has a number of remarkable properties, one of them is the complete factorization of the coefficients of the operator product expansion. We consider a particular case of the U(r) gauge theory on C^2/Z_p which corresponds to a certain coset conformal field theory and describe the properties of this basis. We argue that in the case p=2, r=2 there exist different bases. We give an explicit construction of one of them. For another basis we propose the formula for matrix elements.Comment: 31 pages, 3 figure

Partial 3D gene sequences of Coxsackie viruses reveal interspecies exchanges

The 3D region of 46 clinical Coxsackievirus strains, primarily belonging to the human enterovirus B species (HEV-B), were analyzed using nucleotide distance matrices and phylogeny software. The conclusions from previously analyzed genomic regions (VP1-2A-2B-2C) of the aforementioned strains revealed that enteroviruses' inheritance is being guided by gene adaptation among viruses of different serotypes. In this report the comparison of partial VP1 and 3D gene phylogenies presented an obvious incongruence. Moreover, the phylogeny of 3D sequences of the strains revealed an unexpected (and for the first time reported) homology among strains of different species. The observations of our study indicate that conversion events such as multiple mutations or recombination among strains and unknown donors may occur during the evolution of circulating strains, leading, probably, to viruses with altered genome and virulence. © 2007 Springer Science+Business Media, LLC