New parafermion, SU(2) coset and N = 2 superconformal field theories

Changrim Ahn; Stephen wei Chung; S. H.Henry Tye

doi:10.1016/0550-3213(91)90611-Z

New parafermion, SU(2) coset and N = 2 superconformal field theories

Changrim Ahn, Stephen wei Chung, S. H.Henry Tye

Department of Physics

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

19 Scopus citations

Abstract

In this paper we construct new parafermion theories, generalizing the Z_L parafermion theory from integer L to rational L. These non-unitary parafermion theories (which are also defined as SL(2, R)_L/U(1)) have some novel features: an infinite number of currents with negative conformal dimensions for most (if not all) of them. We construct the string functions of these new parafermion theories. Generalizing Felder's BRST cohomology approach we construct from the string functions the branching functions of the SU(2)_L × SU(2)_K SU(2)_K+L coset theories, where both K, L are rational. New N = 2 superconformal field theories and topological field theories are also constructed. Their characters are obtained in terms of the new string functions.

Original language	English
Pages (from-to)	191-240
Number of pages	50
Journal	Nuclear Physics, Section B
Volume	365
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(91)90611-Z
State	Published - 4 Nov 1991

Bibliographical note

Funding Information:
We thank P. Argyres, K. Dienes, B. Greene, J. Grochocinski, O. Hern~ndez, A. LeClair, E. Lyman, and M. Walton for numerous discussions. This work is supported in part by the National Science Foundation.

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title = "New parafermion, SU(2) coset and N = 2 superconformal field theories",

abstract = "In this paper we construct new parafermion theories, generalizing the ZL parafermion theory from integer L to rational L. These non-unitary parafermion theories (which are also defined as SL(2, R)L/U(1)) have some novel features: an infinite number of currents with negative conformal dimensions for most (if not all) of them. We construct the string functions of these new parafermion theories. Generalizing Felder's BRST cohomology approach we construct from the string functions the branching functions of the SU(2)L × SU(2)K SU(2)K+L coset theories, where both K, L are rational. New N = 2 superconformal field theories and topological field theories are also constructed. Their characters are obtained in terms of the new string functions.",

author = "Changrim Ahn and Chung, {Stephen wei} and Tye, {S. H.Henry}",

note = "Funding Information: We thank P. Argyres, K. Dienes, B. Greene, J. Grochocinski, O. Hern~ndez, A. LeClair, E. Lyman, and M. Walton for numerous discussions. This work is supported in part by the National Science Foundation.",

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T1 - New parafermion, SU(2) coset and N = 2 superconformal field theories

AU - Ahn, Changrim

AU - Chung, Stephen wei

AU - Tye, S. H.Henry

N1 - Funding Information: We thank P. Argyres, K. Dienes, B. Greene, J. Grochocinski, O. Hern~ndez, A. LeClair, E. Lyman, and M. Walton for numerous discussions. This work is supported in part by the National Science Foundation.

PY - 1991/11/4

Y1 - 1991/11/4

N2 - In this paper we construct new parafermion theories, generalizing the ZL parafermion theory from integer L to rational L. These non-unitary parafermion theories (which are also defined as SL(2, R)L/U(1)) have some novel features: an infinite number of currents with negative conformal dimensions for most (if not all) of them. We construct the string functions of these new parafermion theories. Generalizing Felder's BRST cohomology approach we construct from the string functions the branching functions of the SU(2)L × SU(2)K SU(2)K+L coset theories, where both K, L are rational. New N = 2 superconformal field theories and topological field theories are also constructed. Their characters are obtained in terms of the new string functions.

AB - In this paper we construct new parafermion theories, generalizing the ZL parafermion theory from integer L to rational L. These non-unitary parafermion theories (which are also defined as SL(2, R)L/U(1)) have some novel features: an infinite number of currents with negative conformal dimensions for most (if not all) of them. We construct the string functions of these new parafermion theories. Generalizing Felder's BRST cohomology approach we construct from the string functions the branching functions of the SU(2)L × SU(2)K SU(2)K+L coset theories, where both K, L are rational. New N = 2 superconformal field theories and topological field theories are also constructed. Their characters are obtained in terms of the new string functions.

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U2 - 10.1016/0550-3213(91)90611-Z

DO - 10.1016/0550-3213(91)90611-Z

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VL - 365

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EP - 240

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -

New parafermion, SU(2) coset and N = 2 superconformal field theories

Abstract

Bibliographical note

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