Arithmetic of Calabi-Yau varieties and rational conformal field theory.

DOI10.1016/S0393-0440(02)00079-7zbMath1092.11028arXivhep-th/0111226OpenAlexW3098492311MaRDI QIDQ1864937

Rolf Schimmrigk

Publication date: 23 March 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0111226

zbMATH Keywords

Calabi-Yau manifoldsConformal field theoryArithmetic algebraic geometry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over finite and local fields (11G25)

Related Items

The Langlands program and string modular \(K3\) surfaces, Complex multiplication of exactly solvable Calabi-Yau varieties, Complex multiplication symmetry of black hole attractors, The Shimura-Taniyama conjecture and conformal field theory., String-theory realization of modular forms for elliptic curves with complex multiplication, 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectra and symmetries of Gepner models compared to Calabi-Yau compactifications
• Markov traces and II\(_ 1\) factors in conformal field theory
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• On the Stickelberger ideal and the circular units of a cyclotomic field
• La conjecture de Weil. I
• Phases of \(N=2\) theories in two dimensions
• On the Rationality of the Zeta Function of an Algebraic Variety
• Classical theory of algebraic numbers