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R-matrix formulation of affine Yangian of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">|</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>

Dmitry Kolyaskin, Alexey Litvinov, А. Zhukov

2022Nuclear Physics B15 citationsDOIOpen Access PDF

Abstract

We study N=2 superconformal field theory and define the R-matrix which acts as an intertwining operator between different realizations of N=2 W-algebras of type A. Using this R-matrix we define RLL algebra and relate it to current realization of affine Yangian of glˆ(1|1).

Topics & Concepts

YangianStress (linguistics)Realization (probability)Affine transformationAlgebra over a fieldMatrix (chemical analysis)Operator (biology)MathematicsCombinatoricsPure mathematicsComputer scienceStatisticsSpeech recognitionRepressorMaterials scienceTranscription factorChemistryBiochemistryGeneComposite materialAlgebraic structures and combinatorial modelsNonlinear Waves and SolitonsAdvanced Topics in Algebra
R-matrix formulation of affine Yangian of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">|</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> | Litcius