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The worldsheet of the string theory, which consisting of 26 free scalarfields in Minkowski space, is two dimensional conformal field theory. If wedenote the two dimension conformal field theory by elliptic curve and denotethe partition function of string theory by modular form, then the relationbetween conformal field theory and the string theory can be represented as theTaniyama-Shimura conjecture. Moreover, it also can be generalized to the$F$-theory.

String theory and the Taniyama-Shimura conjecture