Nonstandard parafermions and string compactification

Andrei Babichenko; Doron Gepner

doi:https://doi.org/10.1016/j.nuclphysb.2011.08.027

Nonstandard parafermions and string compactification

Andrei Babichenko, Doron Gepner

Department of Particle Physics and Astrophysics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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) theory which is shown to have two net generations.

Original language	English
Pages (from-to)	375-392
Number of pages	18
Journal	Nuclear Physics B
Volume	854
Issue number	2
DOIs	https://doi.org/10.1016/j.nuclphysb.2011.08.027
State	Published - 11 Jan 2012

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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https://doi.org/10.1016/j.nuclphysb.2011.08.027

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title = "Nonstandard parafermions and string compactification",

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) theory which is shown to have two net generations.",

author = "Andrei Babichenko and Doron Gepner",

note = "Einstein CenterWe thank S. Pal for his participation in the early stages of this work. We thank the Einstein Center for support. Discussions with A. Belavin and A. Zamolodchikov are gratefully acknowledged. D.G. would like to thank Ida Deichaite for constructive remarks on the manuscript.",

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T1 - Nonstandard parafermions and string compactification

AU - Babichenko, Andrei

AU - Gepner, Doron

N1 - Einstein CenterWe thank S. Pal for his participation in the early stages of this work. We thank the Einstein Center for support. Discussions with A. Belavin and A. Zamolodchikov are gratefully acknowledged. D.G. would like to thank Ida Deichaite for constructive remarks on the manuscript.

PY - 2012/1/11

Y1 - 2012/1/11

N2 - 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) theory which is shown to have two net generations.

AB - 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) theory which is shown to have two net generations.

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U2 - https://doi.org/10.1016/j.nuclphysb.2011.08.027

DO - https://doi.org/10.1016/j.nuclphysb.2011.08.027

M3 - مقالة

SN - 0550-3213

VL - 854

SP - 375

EP - 392

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 2

ER -

Nonstandard parafermions and string compactification

Abstract

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