R-matrix formulation of affine Yangian of $\widehat{\mathfrak{gl}}(1|1)$

Abstract

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

References in corpus (1)

• Non-commutative Donaldson-Thomas theory and the conifold

Cited by in corpus (11)

• Quantum toroidal algebras and solvable structures in gauge/string theory
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• Simple Representations of BPS Algebras: the case of $Y({\widehat{\mathfrak{gl}}}_2)$
• Gauge origami and quiver W-algebras
• Quiver Yangians and $\mathcal{W}$-Algebras for Generalized Conifolds
• More on Affine Dynkin Quiver Yangians
• BPS States Meet Generalized Cohomology
• Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
• Towards the theory of Yangians
• Supersymmetric polynomials and algebro-combinatorial duality
• An Overview of Crystals and Double Quiver Yangians