Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-08
J.Phys.A35:609-636,2002
Physics
High Energy Physics
High Energy Physics - Theory
31 pages of Latex, 5 figures
Scientific paper
10.1088/0305-4470/35/3/310
We propose a renormalization group scaling function which is constructed from q-deformed fermionic versions of Virasoro characters. By comparison with alternative methods, which take their starting point in the massive theories, we demonstrate that these new functions contain qualitatively the same information. We show that these functions allow for RG-flows not only amongst members of a particular series of conformal field theories, but also between different series such as N=0,1,2 supersymmetric conformal field theories. We provide a detailed analysis of how Weyl characters may be utilized in order to solve various recurrence relations emerging at the fixed points of these flows. The q-deformed Virasoro characters allow furthermore for the construction of particle spectra, which involve unstable pseudo-particles.
Castro-Alvaredo Olalla A.
Fring Andreas
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