p-adic strings, the Weil conjectures and anomalies.(English)Zbl 0694.22006
Summary: An analogy between the Veneziano amplitude and the p-adic interpolation of the beta-function is suggested as the basis of a new p-adic quantum geometry. Relationships with the Weil conjectures, Fermat curves and anomalies are discussed.
MSC:
| 22E35 | Analysis on \(p\)-adic Lie groups |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 81T05 | Axiomatic quantum field theory; operator algebras |
| 11S80 | Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) |
Keywords:
Veneziano amplitude;p-adic interpolation;beta-function;p-adic quantum geometry;Weil conjectures;Fermat curves;anomaliesCite
Full Text:DOI
References:
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