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 (7)

• Structure Constants and Conformal Bootstrap in Liouville Field Theory
• Non-commutative Donaldson-Thomas theory and the conifold
• The affine Yangian of ${\mathfrak{gl}}_1$ revisited
• W-symmetry, topological vertex and affine Yangian
• Quiver Yangian from Crystal Melting
• Higher Spins and Yangian Symmetries
• Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: type C

Cited by in corpus (11)

• Quantum toroidal algebras and solvable structures in gauge/string theory
• Super-Schur Polynomials for Affine Super Yangian $\mathsf{Y}({\widehat{\mathfrak{gl}}}_{1|1})$
• 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