Abstract
The open p-adic string world sheet is a coset space F=T/Γ, where T is the Bruhat-Tits tree for the p-adic linear group GL(2, ℚ p ) and Γ ⊂ PGL(2, ℚ p ) is some Schottky group. The string dynamics is governed by the local action on F, with the fields taking values in a compact group G. We find the correlation functions and partition functions for the p-adic string surfaces of arbitrary genus and G=U(1)xD (D-dimensional torus).
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