New p-adic strings from old dual models.

Abstract

In the simplest bosonic p-adic string, a central role is played by an ${S}_{3}$ symmetry in the four-particle amplitude. Using an ${S}_{3}$ analysis of four-point dual amplitudes, we exhibit a general class of p-adic string amplitudes. All are shown to satisfy a factorization (adelic) property for the infinite product over p-adic amplitudes. Explicit examples are worked through for a p-adic string with spin-0 and spin-2 poles and no tachyon.