\(tt^{*}\) geometry in 3 and 4 dimensions
From MaRDI portal
Publication:270661
DOI10.1007/JHEP05(2014)055zbMath1333.81163arXiv1312.1008OpenAlexW3104398152MaRDI QIDQ270661
Davide Gaiotto, Sergio Cecotti, Cumrun Vafa
Publication date: 7 April 2016
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.1008
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Algebraic structure of \(t\,t{*}\) equations for Calabi-Yau sigma models, BPS spectra and invariants for three- and four-manifolds, Seifert fibering operators in 3d \( \mathcal{N}=2 \) theories, \( \mathcal{N}=2\) supersymmetric field theories on 3-manifolds with A-type boundaries, A topologically twisted index for three-dimensional supersymmetric theories, Mirror symmetry and the flavor vortex operator in two dimensions, Factorisation and holomorphic blocks in 4d, Berry's connection, Kähler geometry and the Nahm construction of monopoles, Dual boundary conditions in 3d SCFT's, Sphere partition function of Calabi-Yau GLSMs, Topological-antitopological fusion and the quantum cohomology of Grassmannians, A Lie-theoretic description of the solution space of the \(\mathrm{tt}^\ast\)-Toda equations, Wilson loop algebras and quantum K-theory for Grassmannians, Moduli spaces of Calabi-Yau \(d\)-folds as gravitational-chiral instantons, An elliptic Virasoro symmetry in 6d, Exponential networks, WKB and topological string, Holomorphic blocks and the 5d AGT correspondence, Fivebranes and 3-manifold homology, BPS spectra and 3-manifold invariants, S-duality of boundary conditions and the Geometric Langlands program, Twisted compactifications of 3d \( \mathcal{N} =4\) theories and conformal blocks, Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I, Fundamental vortices, wall-crossing, and particle-vortex duality, Special geometry and the swampland, \(tt^{*}\) equations, localization and exact chiral rings in \(4d \mathcal{N} =2\) SCFTs, Janus interface in two-dimensional supersymmetric gauge theories, The Superconformal Index of Theories of Class $$\mathcal {S}$$, 3d Superconformal Theories from Three-Manifolds, Complex Chern-Simons theory at level \(k\) via the 3d-3d correspondence, Quantum K-theory of Calabi-Yau manifolds, Fibers add flavor. I: Classification of 5d SCFTs, flavor symmetries and BPS states, Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\), On phases of 3d \(\mathcal{N} = 2\) Chern-Simons-matter theories, \( SL (3, \mathbb{Z} )\) Modularity and new Cardy limits of the \(\mathcal{N} = 4\) superconformal index, Quantum curves and \(q\)-deformed Painlevé equations, The colored Jones polynomials as vortex partition functions, BPS indices, modularity and perturbations in quantum K-theory, Exploring 5d BPS spectra with exponential networks, A slow review of the AGT correspondence
Uses Software
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