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Self-dual continuous series of representations for and

2014
journal article
article
10.1007/JHEP10(2014)091
Journal
The Journal of High Energy Physics
Author
Hadasz Leszek

Pawełkiewicz Michał

Schomerus Volker
Volume
2014
Number
10
Article ID
91
ISSN
1126-6708
eISSN
1029-8479
Keywords in English

field theories in lower dimensions

quantum Groups

conformal and W symmetry

integrable field theories

Language
English
Journal language
English
Abstract in English

We determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous series of representations of the quantum deformed algebras and . While our results for the former algebra reproduce formulas by Ponsot and Teschner, the expressions for the orthosymplectic algebra are new. Up to some normalization factors, the associated Racah-Wigner coefficients are shown to agree with the fusing matrix in the Neveu-Schwarz sector of N =1 supersymmetric Liouville field theory.

Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
Scopus© citations
17
dc.abstract.enWe determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous series of representations of the quantum deformed algebras $U_{q}(sl(2))$ and $U_{q}(osp(1\mid 2))$. While our results for the former algebra reproduce formulas by Ponsot and Teschner, the expressions for the orthosymplectic algebra are new. Up to some normalization factors, the associated Racah-Wigner coefficients are shown to agree with the fusing matrix in the Neveu-Schwarz sector of N =1 supersymmetric Liouville field theory.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorHadasz, Leszek - 128269 pl
dc.contributor.authorPawełkiewicz, Michałpl
dc.contributor.authorSchomerus, Volkerpl
dc.date.accessioned2015-04-25T11:29:13Z
dc.date.available2015-04-25T11:29:13Z
dc.date.issued2014pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number10pl
dc.description.publication2pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume2014pl
dc.identifier.articleid91pl
dc.identifier.doi10.1007/JHEP10(2014)091pl
dc.identifier.eissn1029-8479pl
dc.identifier.issn1126-6708pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/5752
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.enfield theories in lower dimensionspl
dc.subject.enquantum Groupspl
dc.subject.enconformal and W symmetrypl
dc.subject.enintegrable field theoriespl
dc.subtypeArticlepl
dc.titleSelf-dual continuous series of representations for $U_{q}(sl(2))$ and $U_{q}(osp(1\mid 2))$pl
dc.title.journalThe Journal of High Energy Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous series of representations of the quantum deformed algebras $U_{q}(sl(2))$ and $U_{q}(osp(1\mid 2))$. While our results for the former algebra reproduce formulas by Ponsot and Teschner, the expressions for the orthosymplectic algebra are new. Up to some normalization factors, the associated Racah-Wigner coefficients are shown to agree with the fusing matrix in the Neveu-Schwarz sector of N =1 supersymmetric Liouville field theory.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Hadasz, Leszek - 128269
dc.contributor.authorpl
Pawełkiewicz, Michał
dc.contributor.authorpl
Schomerus, Volker
dc.date.accessioned
2015-04-25T11:29:13Z
dc.date.available
2015-04-25T11:29:13Z
dc.date.issuedpl
2014
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
10
dc.description.publicationpl
2
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
2014
dc.identifier.articleidpl
91
dc.identifier.doipl
10.1007/JHEP10(2014)091
dc.identifier.eissnpl
1029-8479
dc.identifier.issnpl
1126-6708
dc.identifier.projectpl
ROD UJ / P
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/5752
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subject.enpl
field theories in lower dimensions
dc.subject.enpl
quantum Groups
dc.subject.enpl
conformal and W symmetry
dc.subject.enpl
integrable field theories
dc.subtypepl
Article
dc.titlepl
Self-dual continuous series of representations for $U_{q}(sl(2))$ and $U_{q}(osp(1\mid 2))$
dc.title.journalpl
The Journal of High Energy Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Hadasz, Leszek
No affiliation
Pawełkiewicz, Michał
Schomerus, Volker

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