
Open access
Date
2016-10-05Type
- Journal Article
ETH Bibliography
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Abstract
We derive the universal R-matrix of the quantum-deformed enveloping
algebra of centrally extended sl(∣) 2 2 using Drinfeldʼs quantum double con struction. We are led to enlarging the algebra by additional generators
corresponding to an sl(2) automorphism. For this maximally extended algebra
we construct a consistent Hopf algebra structure where the extensions exhibit
several uncommon features. We determine the corresponding universal
R-matrix containing some non-standard functions. Curiously, this Hopf
algebra has one extra deformation parameter for which the R-matrix does not
factorize into products of exponentials. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000122091Publication status
publishedExternal links
Journal / series
Journal of Physics A: Mathematical and TheoreticalVolume
Pages / Article No.
Publisher
IOP PublishingSubject
Quantum algebra; Universal R-matrix; AdS/CFTOrganisational unit
03896 - Beisert, Niklas / Beisert, Niklas
Funding
137616 - Algebraic Foundations of Integrability in the Planar Gauge/String Duality (SNF)
615203 - Extended Symmetries in Gauge and Gravity Theories (EC)
Notes
Published online 5 October 2016.More
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ETH Bibliography
yes
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