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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 3, Pages 510–535
DOI: https://doi.org/10.4213/tmf6184 (Mi tmf6184) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Factorizable ribbon quantum groups in logarithmic conformal field theories

A. M. Semikhatov

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (802 kB) Citations (16)
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DOI: https://doi.org/10.4213/tmf6184
Abstract: We review the properties of quantum groups occurring as the Kazhdan–Lusztig dual to logarithmic conformal field theory models. These quantum groups at even roots of unity are not quasitriangular but are factorizable and have a ribbon structure; the modular group representation on their center coincides with the representation on generalized characters of the chiral algebra in logarithmic conformal field models.
Keywords: quantum group, factorizable structure, ribbon structure, modular group, Grothendieck ring, Kazhdan–Lusztig correspondence, logarithmic conformal field theory.
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 3, Pages 433–453
DOI: https://doi.org/10.1007/s11232-008-0037-4
Bibliographic databases:
Language: Russian
Citation: A. M. Semikhatov, “Factorizable ribbon quantum groups in logarithmic conformal field theories”, TMF, 154:3 (2008), 510–535; Theoret. and Math. Phys., 154:3 (2008), 433–453
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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