$ \mathcal{W} $-algebra modules, free fields, and Gukov-Witten defects (Q2315768)

scientific article

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English	$ \mathcal{W} $-algebra modules, free fields, and Gukov-Witten defects	scientific article

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scholarly article

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title

$ \mathcal{W} $-algebra modules, free fields, and Gukov-Witten defects (English)

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Journal of High Energy Physics

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publication date

25 July 2019

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full work available at URL

https://arxiv.org/abs/1808.08837

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zbMATH Keywords

conformal and W symmetry

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conformal field theory

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supersymmetric gauge theory

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describes a project that uses

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Vertex algebras at the corner

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The omega deformation, branes, integrability and Liouville theory

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Knot invariants from four-dimensional gauge theory

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Vertex algebras for S-duality

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Webs of $\mathcal{W}$-algebras

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Electric-magnetic duality and the geometric Langlands program

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Q3108747

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Fivebranes and knots

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Branes and supergroups

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$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory

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Janus configurations, Chern-Simons couplings, and the {$\theta$}-angle in $\mathcal{N} = 4$ super Yang-Mills theory

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Supersymmetric boundary conditions in $\mathcal{N}=4$ super Yang-Mills theory

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Representation theory of the vertex algebra $W_{1+\infty}$

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A class of ${\mathcal W}$-algebras with infinitely generated classical limit

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Universal Drinfeld-Sokolov reduction and matrices of complex size

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Coset realization of unifying $\mathcal W$ algebras.

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Triality in minimal model holography

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Cherednik algebras, $W$-algebras and the equivariant cohomology of the moduli space of instantons on $\mathbb A^2$

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Quantum groups and quantum cohomology

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Instanton moduli spaces and $\mathscr W$-algebras

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The affine Yangian of $\mathfrak{gl}_1$ revisited

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$ \mathcal{W} $ -symmetry, topological vertex and affine Yangian

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Higher spins and Yangian symmetries

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Q3597344

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Plane partitions with a ``pit'': generating functions and representation theory

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On $W$ algebras commuting with a set of screenings

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Classification of irreducible modules of ${\mathcal W}_3$ algebra with $c=-2$

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Zhu's algebra, $C_2$-algebra and $C_2$-cofiniteness of parafermion vertex operator algebras

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Irreducible generic Gelfand-Tsetlin modules of $\mathfrak{gl}(n)$

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Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories

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Cohomological Hall algebras, vertex algebras and instantons

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Quantization of the Gel'fand-Dikiĭ brackets

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Classical $W$-algebras

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Q4939475

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Poisson-Lie group of pseudodifferential symbols

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Instanton R-matrix and $\mathcal{W}$-symmetry

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The associative algebras of conformal field theory

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Modular invariance of characters of vertex operator algebras

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Conformal field theory

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Invariant theory and the $\mathcal{W}_{1+\infty}$ algebra with negative integral central charge

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Cosets of affine vertex algebras inside larger structures

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The structure of the Kac-Wang-Yan algebra

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Orbifolds and cosets of minimal ${\mathcal{W}}$-algebras

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Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

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$W$-algebras with set of primary fields of dimensions $(3,4,5)$ and $(3,4,5,6)$.

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$W$-algebras related to parafermion algebras

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A <i>MATHEMATICA</i>™ PACKAGE FOR COMPUTING OPERATOR PRODUCT EXPANSIONS

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Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials

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Excited states of the Calogero-Sutherland model and singular vectors of the $W_N$ algebra

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The supersymmetric affine Yangian

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Vertex algebras, Kac-Moody algebras, and the Monster

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Q3994993

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Instanton moduli spaces and bases in coset conformal field theory

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Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations

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Twin-plane-partitions and $ \mathcal{N} =2$ affine Yangian

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Branching rules for quantum toroidal $\mathfrak{gl}_n$

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Fock representations of the affine Lie algebra $A_ 1^{(1)}$

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Affine Kac-Moody algebras and semi-infinite flag manifolds

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BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and $qq$-characters

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Spiked instantons from intersecting D-branes

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BPS/CFT correspondence. III: Gauge origami partition function and $qq$-characters

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BPS/CFT correspondence. IV: Sigma models and defects in gauge theory

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Magnificent four

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Branes and toric geometry

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Quantum Langlands dualities of boundary conditions, $D$-modules, and conformal blocks

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Vertex algebras and 4-manifold invariants

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Fivebranes and 4-Manifolds

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GAUGE THEORY AND WILD RAMIFICATION

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Generalization of Drinfeld quantum affine algebras

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A (q,γ) analog of the W1+∞ algebra

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Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence

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Quantum algebraic approach to refined topological vertex

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Ding-Iohara-Miki symmetry of network matrix models

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Explicit examples of DIM constraints for network matrix models

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$(p,q)$-webs of DIM representations, 5d $\;\mathcal{N}=1 $ instanton partition functions and qq-characters

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On the instanton $R$-matrix

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Identifiers

zbMATH Open document ID

1416.81195

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DOI

10.1007/JHEP05(2019)159

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2315768

\( \mathcal{W} \)-algebra modules, free fields, and Gukov-Witten defects (Q2315768)

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Mathematics(1 entry)