Some Aspects of c=-2 Theory

Details Some Aspects of c=-2 Theory Some Aspects of c=-2 Theory

2006-10-30

arxiv.org/abs/hep-th/0610313v2

Fortsch.Phys.55:1289-1308,2008

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1002/prop.200710394

We investigate some aspects of the c=-2 logarithmic conformal field theory. These include the various representations related to this theory, the structures which come out of the Zhu algebra and the W algebra related to this theory. We try to find the fermionic representations of all of the fields in the extended Kac table especially for the untwisted sector case. In addition, we calculate the various OPEs of the fields, especially the energy-momentum tensor. Moreover, we investigate the important role of the zero modes in this model. We close the paper by considering the perturbations of this theory and their relationship to integrable models and generalization of Zamolodchikov's $c-$theorem.

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