Treffer: Fractional Spin Through Quantum Affine Algebras with Vanishing Central Charge: Fractional spin through quantum affine algebras with vanishing central charge

Title:
Fractional Spin Through Quantum Affine Algebras with Vanishing Central Charge: Fractional spin through quantum affine algebras with vanishing central charge
Authors:
E. H. Zakkari, M. Mansour
Source:
International Journal of Theoretical Physics. 43:1249-1260
Publication Status:
Preprint
Publisher Information:
Springer Science and Business Media LLC, 2004.
Publication Year:
2004
Subject Terms:
High Energy Physics - Theory, Supersymmetry and quantum mechanics, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, fractional supersymmetry, 01 natural sciences, Commutation relations and statistics as related to quantum mechanics (general), Hopf algebras (associative rings and algebras), High Energy Physics - Theory (hep-th), 0103 physical sciences, \(Q\)-boson, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, quantum group quantum algebras
Document Type:
Fachzeitschrift Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
1572-9575
0020-7748
DOI:
10.1023/b:ijtp.0000048613.18311.f3
DOI:
10.48550/arxiv.hep-th/0303215
Access URL:
http://arxiv.org/pdf/hep-th/0303215
http://arxiv.org/abs/hep-th/0303215
https://zbmath.org/2146139
https://doi.org/10.1023/b:ijtp.0000048613.18311.f3
https://link.springer.com/article/10.1023/B%3AIJTP.0000048613.18311.f3
http://export.arxiv.org/abs/hep-th/0303215
https://arxiv.org/abs/hep-th/0303215v2
Rights:
Springer Nature TDM
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....b4a3cd609a8f9753e381e651ab05859b
Database:
OpenAIRE

Weitere Informationen

In this paper, we study the fractional decomposition of the quantum enveloping affine algebras $U_Q(\hat A(n))$ and $U_Q(\hat{C}(n))$ with vanishing central charge in the limit $Q\to q=e^{\frac{2i��}k}$ . This decomposition is based on the bosonic representation and can be related to the fractional supersymmetry and $k$-fermionic spin. The equivalence between the quantum affine algebras and the classical ones in the fermionic realization is also established.