# q-deformation of corner vertex operator algebras by Miura transformation

@inproceedings{Harada2021qdeformationOC, title={q-deformation of corner vertex operator algebras by Miura transformation}, author={Koichira Harada and Yutaka Matsuo and Go Noshita and Akimi Watanabe}, year={2021} }

Recently, Gaiotto and Rapcak proposed a generalization of WN algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra). The algebra, denoted as YL,M,N , is characterized by three non-negative integers L,M,N . It has a manifest triality automorphism which interchanges L,M,N , and can be obtained as a reduction of W1+∞ algebra with a “pit” in the plane partition representation. Later, Prochazka and Rapcak proposed a representation of YL,M,N in…

## 5 Citations

### A note on quiver quantum toroidal algebra

- MathematicsJournal of High Energy Physics
- 2022

Abstract
Recently, Li and Yamazaki proposed a new class of infinite-dimensional algebras, quiver Yangian, which generalizes the affine Yangian $$ \mathfrak{gl} $$
gl
1. The characteristic feature…

### Shifted quiver quantum toroidal algebra and subcrystal representations

- MathematicsJournal of High Energy Physics
- 2022

Abstract
Recently, new classes of infinite-dimensional algebras, quiver Yangian (QY) and shifted QY, were introduced, and they act on BPS states for non-compact toric Calabi-Yau threefolds. In…

### Quadratic relations of the deformed W-algebra for the twisted affine algebra A ( 2 ) 2

- Mathematics
- 2021

We revisit the free field construction of the deformed W -algebra by Frenkel and Reshetikhin, Commun. Math. Phys. 197, 1-31 (1998), where the basic W -current has been identified. Herein, we…

### Quadratic relations of the deformed W-superalgebra Wq,tA(M,N)

- Mathematics
- 2021

We find the free field construction of the basic W-current and screening currents for the deformed W-superalgebra Wq,tA(M,N) associated with Lie superalgebra of type A(M, N). Using this free field…

### 5d AGT correspondence of supergroup gauge theories from quantum toroidal $\mathfrak{gl}_{1}$

- Mathematics
- 2022

We discuss the 5d AGT correspondence of supergroup gauge theories with A-type supergroups. We introduce two intertwiners called positive and negative intertwiners to compute the instanton partition…

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