Cohomological Hall algebras, vertex algebras and instantons
DOI10.1007/s00220-019-03575-5OpenAlexW2896717571WikidataQ127196275 ScholiaQ127196275MaRDI QIDQ2187278
Miroslav Rapčák, Gufang Zhao, Ya-ping Yang, Ya. S. Sojbel'man
Publication date: 2 June 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.10402
Vertex operators; vertex operator algebras and related structures (17B69) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) (3)-folds (14J30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
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Cites Work
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- Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities
- Branching rules for quantum toroidal \(\mathfrak{gl}_n\)
- Exts and the AGT relations
- The affine Yangian of \(\mathfrak{gl}_1\) revisited
- Nekrasov's partition function and refined Donaldson-Thomas theory: the rank one case
- Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Quantization of the Drinfel'd-Sokolov reduction.
- On shifted super Yangians and a class of finite \(W\)-superalgebras
- Spiked instantons from intersecting D-branes
- Branes, black holes and topological strings on toric Calabi-Yau manifolds
- Vertex algebras at the corner
- The BRST formulation of \(G/H\) WZNW models
- Seiberg-Witten prepotential from instanton counting
- Shifted Yangians and finite \(W\)-algebras
- Motivic Donaldson-Thomas invariants for the one-loop quiver with potential
- Non-commutative Donaldson-Thomas invariants and the conifold
- Crystal melting and toric Calabi-Yau manifolds
- Construction of instantons
- Branes and toric geometry
- On the algebras of BPS states.
- Classification of irreducible modules of \({\mathcal W}_3\) algebra with \(c=-2\)
- Gauge fields and D-branes.
- The associative algebras of conformal field theory
- Heisenberg algebra and Hilbert schemes of points on projective surfaces
- Generalization of Drinfeld quantum affine algebras
- Equivariant cohomology, Koszul duality, and the localization theorem
- Hyperbolic localization of intersection cohomology
- Webs of \(\mathcal{W}\)-algebras
- \( \mathcal{W} \) -symmetry, topological vertex and affine Yangian
- On \(W\) algebras commuting with a set of screenings
- BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters
- Quiver W-algebras
- Quiver elliptic W-algebras
- On the semi-stable CoHa and its modules arising from smooth models
- The supersymmetric affine Yangian
- BPS/CFT correspondence. II: Instantons at crossroads, moduli and compactness theorem
- Higher spins and Yangian symmetries
- Twin-plane-partitions and \( \mathcal{N} =2\) affine Yangian
- Plane partition realization of (web of) \( \mathcal{W} \)-algebra minimal models
- BPS/CFT correspondence. IV: Sigma models and defects in gauge theory
- Cohomological Hall algebras and affine quantum groups
- Triality in minimal model holography
- Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories
- Yangian realisations from finite \({\mathcal W}\)-algebras
- The elliptic Hall algebra and the \(K\)-theory of the Hilbert scheme of \(\mathbb{A}^{2}\)
- A-type quiver varieties and ADHM moduli spaces
- The omega deformation, branes, integrability and Liouville theory
- On the noncommutative Donaldson-Thomas invariants arising from brane tilings
- Liouville correlation functions from four-dimensional gauge theories
- On cohomological Hall algebras of quivers: generators
- \( \mathcal{W} \)-algebra modules, free fields, and Gukov-Witten defects
- Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\)
- Quantum algebraic approach to refined topological vertex
- Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds
- Plane partitions with a ``pit: generating functions and representation theory
- BPS/CFT correspondence. III: Gauge origami partition function and \(qq\)-characters
- Finite \(W\)-superalgebras and truncated super Yangians
- Exploring \(\mathcal W_{\infty}\) in the quadratic basis
- A Presentation of the Deformed W 1+∞ Algebra
- Homological algebra of knots and BPS states
- Instanton moduli spaces and $\mathscr W$-algebras
- Algebraic Cobordism
- A (q,γ) analog of the W1+∞ algebra
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
- Vertex algebras, Kac-Moody algebras, and the Monster
- -superalgebras as truncations of super-Yangians
- Quiver varieties and finite dimensional representations of quantum affine algebras
- The cohomological Hall algebra of a preprojective algebra
- The Critical CoHA of a Quiver With Potential
- Extensions of vertex algebras. Constructions and applications
- Cohomological Hall Algebras, Semicanonical Bases and Donaldson–Thomas Invariants for 2-dimensional Calabi–Yau Categories (with an Appendix by Ben Davison)
- Lectures on perverse sheaves on instanton moduli spaces
- Modular invariance of characters of vertex operator algebras
- On two cohomological Hall algebras
- Universal two-parameter 𝒲∞-algebra and vertex algebras of type 𝒲(2, 3, …, N)
- Double quantization of Seiberg–Witten geometry and W-algebras
- Lectures on Nakajima's Quiver Varieties
- VOA[M4]
- Vertex algebras and 4-manifold invariants
- Relative Donaldson-Thomas theory for Calabi-Yau 4-folds
- Fivebranes and 4-Manifolds
- Remarks on Cohomological Hall Algebras and Their Representations
- Quantum groups and quantum cohomology