Nonstandard Parafermions and String Compactification

Details Nonstandard Parafermions and String Compactification Nonstandard Parafermions and String Compactification

2011-07-04

arxiv.org/abs/1107.0663v3

Physics

High Energy Physics

High Energy Physics - Theory

29 pages; typos corrected and some remarks added

Scientific paper

Nonstandard parafermions are built and their central charges and dimensions are calculated. We then construct new N=2 superconformal field theories by tensoring the parafermions with a free boson. We study the spectrum and modular transformations of these theories. Superstring and heterotic strings in four dimensions are then obtained by tensoring the new superconformal field theories along with some minimal models. The generations and antigenerations are studied. We give an example of the $1^2(5,7)$ theory which is shown to have three net generations.

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