sl^(2)_{-1/2}: A Case Study

Details sl^(2)_{-1/2}: A Case Study sl^(2)_{-1/2}: A Case Study

2008-10-20

arxiv.org/abs/0810.3532v2

Nucl.Phys.B814:485-521,2009

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 2 figures v2: added refs and clarifying comments

Scientific paper

10.1016/j.nuclphysb.2009.01.008

The construction of the non-logarithmic conformal field theory based on sl^(2)_{-1/2} is revisited. Without resorting to free-field methods, the determination of the spectrum and fusion rules is streamlined and the beta gamma ghost system is carefully derived as the extended algebra generated by the unique finite-order simple current. A brief discussion of modular invariance is given and the Verlinde formula is explicitly verified.

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