Algebraic surfaces, four-folds and moonshine

DOI10.1007/JHEP02(2019)164zbMath1411.83126arXiv1808.09134OpenAlexW2888907719WikidataQ126174360 ScholiaQ126174360MaRDI QIDQ1735650

Matthieu Sarkis, Ki-Myeong Lee

Publication date: 28 March 2019

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

Full work available at URL: https://arxiv.org/abs/1808.09134

zbMATH Keywords

discrete symmetriesdifferential and algebraic geometry

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) (K3) surfaces and Enriques surfaces (14J28) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05) Relationships between surfaces, higher-dimensional varieties, and physics (14J81)

Cites Work

• Mock modular Mathieu moonshine modules
• Much ado about Mathieu
• Hilbert modular surfaces and the classification of algebraic surfaces
• F-theory and \(2d (0, 2)\) theories
• Elliptic genera of singular varieties.
• Attractive strings and five-branes, skew-holomorphic Jacobi forms and moonshine
• Cobordisme algébrique I
• Cobordisme algébrique II
• A new construction of Eisenstein’s completion of the Weierstrass zeta function
• Elliptic genera, real algebraic varieties and quasi-Jacobi forms
• Notes on the K3 Surface and the Mathieu GroupM₂₄

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