Twisted representations of algebra of \(q\)-difference operators, twisted \(q-W\) algebras and conformal blocks
From MaRDI portal
Publication:2217951
DOI10.3842/SIGMA.2020.077zbMath1460.17035arXiv1906.00600MaRDI QIDQ2217951
Mikhail Bershtein, Roman Gonin
Publication date: 12 January 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.00600
quantum algebrasconformal blocksNekrasov partition functionWhittaker vectortoroidal algebrasW-algebras
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Related Items
Twisted and non-twisted deformed Virasoro algebras via vertex operators of \(U_q(\widehat{\mathfrak{sl}}_2)\) ⋮ Painlevé equations from Nakajima-Yoshioka blowup relations ⋮ Algebra of \(q\)-difference operators, affine vertex algebras, and their modules
Cites Work
- Unnamed Item
- Branching rules for quantum toroidal \(\mathfrak{gl}_n\)
- Free fermions, \(W\)-algebras, and isomonodromic deformations
- The affine Yangian of \(\mathfrak{gl}_1\) revisited
- Five-dimensional AGT conjecture and the deformed Virasoro algebra
- On the Hall algebra of an elliptic curve. I.
- On AGT conjecture for pure super Yang-Mills and W-algebra
- Refined knot invariants and Hilbert schemes
- Bilinear equations on Painlevé \(\tau\) functions from CFT
- Quantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representations
- Quantum continuous \(\mathfrak{gl}_{\infty}\): tensor products of Fock modules and \(\mathcal{W}_{n}\)-characters
- Trigonometric structure constants for new infinite-dimensional algebras
- Quantum toroidal and shuffle algebras
- Twisted and non-twisted deformed Virasoro algebras via vertex operators of \(U_q(\widehat{\mathfrak{sl}}_2)\)
- Realization of the basic representations of the Euclidean Lie algebras
- Basic representations of affine Lie algebras and dual resonance models
- Vertex operator representation of some quantum tori Lie algebras
- Construction of the affine Lie algebra \(A^{(1)}_1\)
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
- The \(q\)-AGT-W relations via shuffle algebras
- Twist-field representations of W-algebras, exact conformal blocks and character identities
- Conformal field theory of Painlevé VI
- A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
- Quantum \({\mathcal W}\)-algebras and elliptic algebras
- Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
- Painlevé equations from Nakajima-Yoshioka blowup relations
- A combinatorial study on quiver varieties
- Isomonodromic tau-functions from Liouville conformal blocks
- Higher-rank isomonodromic deformations and \(W\)-algebras
- Cluster Toda chains and Nekrasov functions
- Quantum curves and \(q\)-deformed Painlevé equations
- Combinatorial expressions for the tau functions of \(q\)-Painlevé V and III equations
- Quantum algebraic approach to refined topological vertex
- Shuffle algebras associated to surfaces
- Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
- q-deformed Painlevéτfunction andq-deformed conformal blocks
- Bäcklund transformation of Painlevé III(D8)τfunction
- Moduli of flags of sheaves and their K-theory
- FREE FIELD CONSTRUCTIONS FOR THE ELLIPTIC ALGEBRA $\rscr{A}_{q,p}(\widehat{sl}_2)$ AND BAXTER'S EIGHT-VERTEX MODEL
- Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
- A (q,γ) analog of the W1+∞ algebra
- A commutative algebra on degenerate CP1 and Macdonald polynomials
- A proof of the shuffle conjecture
- CFT approach to the q-Painlevé VI equation
- Infinitesimal change of stable basis
