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Scaling functions from q-deformed Virasoro characters

Castro-Alvaredo, O. and Fring, A. (2002). Scaling functions from q-deformed Virasoro characters. Journal of Physics A: Mathematical and General, 35(3), 609 -. doi: 10.1088/0305-4470/35/3/310

Abstract

We propose a renormalization group (RG) 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.

Publication Type: Article
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/719
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