Blowup equations for 6d SCFTs. I

DOI10.1007/JHEP03(2019)002zbMath1414.81243arXiv1811.02577OpenAlexW3125336458WikidataQ128288872 ScholiaQ128288872MaRDI QIDQ2421040

Kaiwen Sun, Xin Wang, Babak Haghighat, Jie Gu

Publication date: 8 June 2019

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

Full work available at URL: https://arxiv.org/abs/1811.02577

zbMATH Keywords

field theories in higher dimensionstopological stringsconformal field models in string theorysolitons monopoles and instantons

Mathematics Subject Classification ID

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) Topological field theories in quantum mechanics (81T45) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (21)

Refined topological vertex with ON-planes ⋮ Topological strings and Wilson loops ⋮ Revisiting the classifications of \(6d\) SCFTs and LSTs ⋮ Blowup equations for little strings ⋮ Twisted 6d \((2, 0)\) SCFTs on a circle ⋮ Quantum periods and spectra in dimer models and Calabi-Yau geometries ⋮ BPS relations from spectral problems and blowup equations ⋮ Quasi-Jacobi forms, elliptic genera and strings in four dimensions ⋮ Bootstrapping ADE M-strings ⋮ Towards refining the topological strings on compact Calabi-Yau 3-folds ⋮ M5 branes and theta functions ⋮ Bootstrapping BPS spectra of 5d/6d field theories ⋮ More on topological vertex formalism for 5-brane webs with O5-plane ⋮ Instantons from blow-up ⋮ Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities ⋮ Thermodynamic limit of Nekrasov partition function for 5-brane web with \(O5\)-plane ⋮ State counting on fibered CY 3-folds and the non-abelian weak gravity conjecture ⋮ Fibre-base duality of 5d KK theories ⋮ Elliptic blowup equations for 6d SCFTs. IV: Matters ⋮ Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges ⋮ Holomorphic anomalies, fourfolds and fluxes

Cites Work

• Unnamed Item
• Non-perturbative effects and the refined topological string
• M5-branes from gauge theories on the 5-sphere
• Topological strings from quantum mechanics
• Spectral theory and mirror curves of higher genus
• Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing
• Link homologies and the refined topological vertex
• Refined BPS invariants of 6d SCFTs from anomalies and modularity
• 5d/6d DE instantons from trivalent gluing of web diagrams
• Holomorphic anomalies in topological field theories
• Seiberg-Witten prepotential from instanton counting
• Remodeling the B-model
• Instanton counting on blowup. II: \(K\)-theoretic partition function
• Invariants of algebraic curves and topological expansion
• The Donaldson-Witten function for gauge groups of rank larger than one
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Geometric engineering of quantum field theories
• New phases of string theory and 6d RG fixed points via branes at orbifold singularities
• Integration over the \(u\)-plane in Donaldson theory
• Superconformal partition functions and non-perturbative topological strings
• On elliptic genera of 6d string theories
• Blowup equations for refined topological strings
• Exact quantization conditions, toric Calabi-Yau and non-perturbative topological string
• Equivalence of several descriptions for 6d SCFT
• Refined topological strings on local \(\mathbb P^2 \)
• On exceptional instanton strings
• 6D SCFTs and phases of 5D theories
• Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs
• Universal features of BPS strings in six-dimensional SCFTs
• Counting exceptional instantons
• D-type fiber-base duality
• The blowup formula for Donaldson invariants
• Compactifications of F-theory on Calabi-Yau threefolds. II
• Direct integration for general \(\Omega\) backgrounds
• Macdonald topological vertices and brane condensates
• BPS relations from spectral problems and blowup equations
• The refined BPS index from stable pair invariants
• M-strings
• \(K\)-theoretic Donaldson invariants via instanton counting
• Computing the elliptic genus of higher rank E-strings from genus 0 GW invariants
• \(\text{SU}(N)\) geometries and topological string amplitudes
• The topological vertex
• Topological string on elliptic CY 3-folds and the ring of Jacobi forms
• Strings of Minimal 6d SCFTs
• Atomic classification of 6D SCFTs
• Topological recursion in enumerative geometry and random matrices
• Local mirror symmetry: Calculations and interpretations
• Blowup formulae in Donaldson-Witten theory and integrable hierarchies

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