Affine Yangian of $$ \mathfrak{gl} $$(2) and integrable structures of superconformal field theory

@article{Chistyakova2022AffineYO,
  title={Affine Yangian of \$\$ \mathfrak\{gl\} \$\$(2) and integrable structures of superconformal field theory},
  author={E. L. Chistyakova and Alexey Vad. Litvinov and Pavel Orlov},
  journal={Journal of High Energy Physics},
  year={2022}
}
Abstract This paper is devoted to study of integrable structures in superconformal field theory and more general coset CFT’s related to the affine Yangian Y($$ \hat{\mathfrak{gl}} $$ gl ̂ (2)). We derive the relation between the RLL and current realizations and prove Bethe anzatz equations for the spectrum of Integrals of Motion. 

References

SHOWING 1-10 OF 31 REFERENCES
Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian
In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as affine Yangian gl(1) ”spin chains” with boundaries. We provide
Integrable Structure of Conformal Field Theory III. The Yang–Baxter Relation
Abstract:In this paper we fill some gaps in the arguments of our previous papers [1,2]. In particular, we give a proof that the L operators of Conformal Field Theory indeed satisfy the defining
Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation
Abstract:This paper is a direct continuation of [1] where we began the study of the integrable structures in Conformal Field Theory. We show here how to construct the operators ${\bf
Quiver Varieties and Yangians
We prove a conjecture of Nakajima (for type A it was announced by Ginzburg and Vasserot) giving a geometric realization, via quiver varieties, of the Yangian of type ADE (and more in general of the
Instanton Moduli Spaces and Bases in Coset Conformal Field Theory
The recently proposed relation between conformal field theories in two dimensions and supersymmetric gauge theories in four dimensions predicts the existence of the distinguished basis in the space
On spectrum of ILW hierarchy in conformal field theory II: coset CFT’s
A bstractWe study integrable structure of the coset conformal field theory and define the system of Integrals of Motion which depends on external parameters. This system can be viewed as a
The affine Yangian of gl1 revisited
...
1
2
3
4
...