Maximally extended sl (2|2) as a quantum double
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Date
2016-10-05
Publication Type
Journal Article
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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.
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published
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Journal / series
Volume
49 (43)
Pages / Article No.
434005
Publisher
IOP Publishing
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Subject
Quantum algebra; Universal R-matrix; AdS/CFT
Organisational unit
03896 - Beisert, Niklas / Beisert, Niklas
Notes
Published online 5 October 2016.
Funding
137616 - Algebraic Foundations of Integrability in the Planar Gauge/String Duality (SNF)
615203 - Extended Symmetries in Gauge and Gravity Theories (EC)
615203 - Extended Symmetries in Gauge and Gravity Theories (EC)