Mocking the \(u\)-plane integral

DOI10.1007/s40687-021-00280-5zbMath1472.81184arXiv1910.13410OpenAlexW3174328233MaRDI QIDQ2042085

Georgios Korpas, Gregory W. Moore, Jan Manschot, Iurii Nidaiev

Publication date: 28 July 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13410

zbMATH Keywords

supersymmetric Yang-Mills theory4-manifoldsSeiberg-Witten equationsDonaldson invariantsCoulomb branchintegration over the u-planesurface observables

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) Quantum field theory on curved space or space-time backgrounds (81T20) Symmetry breaking in quantum theory (81R40) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

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The \(u\)-plane integral, mock modularity and enumerative geometry, More on Seiberg-Witten theory and monstrous moonshine: a new simple method of calculating the prepotential, Partition functions and fibering operators on the Coulomb branch of 5d SCFTs, Refinement and modularity of immortal dyons

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