English

Nonstandard Parafermions and String Compactification

High Energy Physics - Theory 2015-05-28 v3 High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

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 12(5,7)1^2(5,7) theory which is shown to have three net generations.

Keywords

Cite

@article{arxiv.1107.0663,
  title  = {Nonstandard Parafermions and String Compactification},
  author = {Andrei Babichenko and Doron Gepner},
  journal= {arXiv preprint arXiv:1107.0663},
  year   = {2015}
}

Comments

29 pages; typos corrected and some remarks added

R2 v1 2026-06-21T18:31:47.697Z