Modular parametrization as Polyakov path integral: cases with CM elliptic curves as target spaces

DOI10.4310/CNTP.2022.V16.N2.A3zbMath1485.11099arXiv1912.13294OpenAlexW2996843980WikidataQ114020844 ScholiaQ114020844MaRDI QIDQ2133428

Taizan Watari, Satoshi Kondo

Publication date: 29 April 2022

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13294

zbMATH Keywords

Mellin transformsPolyakov path integralHecke theta functions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Elliptic curves over global fields (11G05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

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