Arithmetic gauge theory: A brief introduction

DOI10.1142/S0217732318300124zbMath1397.81001OpenAlexW2780175799WikidataQ129322862 ScholiaQ129322862MaRDI QIDQ4686818

Minhyong Kim

Publication date: 10 October 2018

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732318300124

zbMATH Keywords

Galois groupsalgebraic number fieldsgauge fieldsarithmetic schemesclass field theoryprincipal bundles

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Quantum field theory; related classical field theories (81T99) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Class field theory (11R37) Vector bundles on curves and their moduli (14H60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Relationships between algebraic curves and physics (14H81)

Related Items (3)

A note on abelian arithmetic BF‐theory ⋮ Striking patterns in natural magic squares' associated electrostatic potentials: matrices of the 4th and 5th order ⋮ Volume and symplectic structure for \(\ell\)-adic local systems

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