p-adic string compactified on a torus

DOI10.1007/BF00398364zbMath0718.22007OpenAlexW3012446037MaRDI QIDQ5925241

Yu. M. Zinov'ev, Leonid O. Chekhov

Publication date: 1990

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00398364

zbMATH Keywords

compact abelian grouptoruscorrelation functionsdiscrete subgrouppartition functionsgauge fieldslatticesBruhat-Tits tree\(\sigma \) -modelg-loop amplitudesp-adic bosonic fieldp-adic string amplitudesp-adic string modelsp-adic string surfacesstring vacuum

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Arithmetic ground fields for curves (14H25) Compact Riemann surfaces and uniformization (30F10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70) Discrete subgroups of Lie groups (22E40) Miscellaneous applications of number theory (11Z05) Compact groups (22C05) Analysis on (p)-adic Lie groups (22E35)

Cites Work

• p-adic strings, the Weil conjectures and anomalies
• \(c=I\) conformal field theories on Riemann surfaces

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