The Shimura-Taniyama conjecture and conformal field theory.

DOI10.1016/S0393-0440(03)00030-5zbMath1033.11030arXivhep-th/0211284OpenAlexW1987708193WikidataQ122981628 ScholiaQ122981628MaRDI QIDQ1414645

Rolf Schimmrigk, Sean Underwood

Publication date: 4 December 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0211284

zbMATH Keywords

elliptic curvesCalabi-Yau manifoldsKac-Moody algebraszeta functionsL-functionsconformal quantum field theoryvarieties over finite fieldsFermat curvesShimura-Taniyama conjecture

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over finite and local fields (11G25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

The Langlands program and string modular \(K3\) surfaces, Number of rational points of elliptic curves, Complex multiplication of exactly solvable Calabi-Yau varieties, Complex multiplication symmetry of black hole attractors, A modularity test for elliptic mirror symmetry, String modular phases in Calabi-Yau families, String-theory realization of modular forms for elliptic curves with complex multiplication, Modularity of Calabi-Yau varieties and conformal field theory, K-RATIONAL D-BRANE CRYSTALS, On flux vacua and modularity, Emergent spacetime from modular motives, Geometric Kac-Moody modularity, ARITHMETIC SPACE–TIME GEOMETRY FROM STRING THEORY

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