On Free Field Realization of Quantum Affine W-Algebras

On Free Field Realization of Quantum Affine W-Algebras

Abstract We find an explicit formula for the conformal vector of any quantum affine W-algebra in its free field realization.

Bibliographic Details
Main Authors:	Kac, Victor G., Wakimoto, Minoru
Other Authors:	Massachusetts Institute of Technology. Department of Mathematics
Format:	Article
Language:	English
Published:	Springer Berlin Heidelberg 2022
Online Access:	https://hdl.handle.net/1721.1/144361

Similar Items

On characters of irreducible highest weight modules of negative integer level over affine lie algebras
by: Kac, Victor, et al.
Published: (2020)

Defining Relations for Minimal Unitary Quantum Affine W-Algebras
by: Adamović, Dražen, et al.
Published: (2024)

REPRESENTATIONS OF AFFINE SUPERALGEBRAS AND MOCK THETA FUNCTIONS
by: Wakimoto, Minoru, et al.
Published: (2017)

INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS
by: SOLE, ALBERTO D, et al.
Published: (2021)

Representations of affine superalgebras and mock theta functions II
by: Kac, Victor, et al.
Published: (2018)

Structure of classical (finite and affine) W-algebras
by: De Sole, Alberto, et al.
Published: (2018)

Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions
by: Adamović, Dražen, et al.
Published: (2021)

Classical Affine W -Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras
by: De Sole, Alberto, et al.
Published: (2019)

On classification of poisson vertex algebras
by: De Sole, Alberto, et al.
Published: (2012)

Classical Affine W-Algebras for glN and Associated Integrable Hamiltonian Hierarchies
by: De Sole, Alberto, et al.
Published: (2021)

Conformal embeddings of affine vertex algebras in minimal W -algebras I: Structural results
by: Adamovic, Drazen, et al.
Published: (2019)

A Lax type operator for quantum finite W-algebras
by: De Sole, Alberto, et al.
Published: (2021)

Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations
by: De Sole, Alberto, et al.
Published: (2021)

Representations of superconformal algebras and mock theta functions
by: Wakimoto, M., et al.
Published: (2018)

A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
by: Kac, Victor, et al.
Published: (2022)

A remark on boundary level admissible representations
by: Wakimoto, Minoru, et al.
Published: (2018)

A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
by: KAC, VICTOR G, et al.
Published: (2021)

Unitarity of Minimal W-Algebras and Their Representations I
by: Kac, Victor G., et al.
Published: (2023)

An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras
by: Adamović, Dražen, et al.
Published: (2021)

On the structure of quantum vertex algebras
by: De Sole, Alberto, et al.
Published: (2021)

Exotic t-structures and actions of quantum affine algebras
by: Cautis, S, et al.
Published: (2020)

Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
by: Arakawa, Tomoyuki, et al.
Published: (2021)

Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
by: Arakawa, Tomoyuki, et al.
Published: (2021)

Yangians versus minimal W-algebras: A surprising coincidence
by: Kac, Victor G, et al.
Published: (2021)

Adler–Gelfand–Dickey Approach to Classical 𝒲-Algebras Within the Theory of Poisson Vertex Algebras
by: De Sole, Alberto, et al.
Published: (2018)

Affine quantum algebras, Weyl groups and constructible functions
by: McGerty, Kevin (Kevin Rory), 1975-
Published: (2005)

Classical W-Algebras and Generalized Drinfeld-Sokolov Bi-Hamiltonian Systems Within the Theory of Poisson Vertex Algebras
by: De Sole, Alberto, et al.
Published: (2015)

Classical W-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents
by: Valeri, Daniele, et al.
Published: (2016)

An operadic approach to vertex algebra and Poisson vertex algebra cohomology
by: Kac, Victor
Published: (2020)

Erratum to: Classical W-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents
by: De Sole, Alberto, et al.
Published: (2016)

Symplectic reflection algebras and affine lie algebras
by: Etingof, Pavel I.
Published: (2013)

$$\underline{p}$$ p ̲ -reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$ W -algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$ W ( gl N , p ̲ )
by: Carpentier, Sylvain, et al.
Published: (2021)

Algebraic vs physical N = 6 3-algebras
by: Cantarini, Nicoletta, et al.
Published: (2018)

Poisson λ-brackets for Differential–Difference Equations
by: De Sole, Alberto, et al.
Published: (2021)

Affine Springer fibers and the representation theory of small quantum groups and related algebras
by: Boixeda Alvarez, Pablo.
Published: (2020)

Classification of linearly compact simple algebraic N = 6 3-algebras
by: Cantarini, Nicoletta, et al.
Published: (2018)

Cyclotomic double affine Hecke algebras
by: Alexander BRAVERMAN, et al.
Published: (2022)

On the structure of the affine asymptotic Hecke algebras
by: BEZRUKAVNIKOV, ROMAN, et al.
Published: (2023)

Double Affine Hecke Algebras and Their Applications
by: Etingof, Pavel I
Published: (2018)

Characters of (relatively) integrable modules over affine Lie superalgebras
by: Gorelik, Maria, et al.
Published: (2016)