On extensions of \(\mathfrak{gl}\widehat{\left(m \vert n \right)}\) Kac-Moody algebras and Calabi-Yau singularities

DOI10.1007/JHEP01(2020)042zbMath1434.81045arXiv1910.00031WikidataQ126332726 ScholiaQ126332726MaRDI QIDQ2185266

Miroslav Rapčák

Publication date: 4 June 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00031

zbMATH Keywords

supersymmetric gauge theoryconformal and W symmetryconformal field models in string theorydifferential and algebraic geometry

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) 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) Applications of differential geometry to physics (53Z05)

Related Items (20)

Correspondences among CFTs with different W-algebra symmetry ⋮ Affine super Yangians and rectangular W-superalgebras ⋮ Quiver Yangian from crystal melting ⋮ Quiver Yangians and -algebras for generalized conifolds ⋮ A note on quiver Yangians and \(\mathcal{R}\)-matrices ⋮ BPS states meet generalized cohomology ⋮ Gauge/Bethe correspondence from quiver BPS algebras ⋮ Charging solid partitions ⋮ Quantum integrable systems from supergroup gauge theories ⋮ The Grassmannian VOA ⋮ \(q\)-deformation of corner vertex operator algebras by Miura transformation ⋮ The matrix-extended \({\mathcal{W}}_{1+\infty}\) algebra ⋮ Coproduct for affine Yangians and parabolic induction for rectangular \(W\)-algebras ⋮ Topological vertex/anti-vertex and supergroup gauge theory ⋮ On even spin \({\mathcal{W}}_{\infty }\) ⋮ Mixed network calculus ⋮ \(\mathfrak{gl}_N\) Higgsed networks ⋮ Crystal melting, BPS quivers and plethystics ⋮ A slow review of the AGT correspondence ⋮ Intersecting defects and supergroup gauge theory

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