On S-duality and Gauss reciprocity law

Physics – Mathematical Physics

Scientific paper

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Some concepts are clarified, some typos are corrected

Scientific paper

We review the interpretation of Tate's thesis by a sort of conformal field
theory on a number field in \cite{1}. Based on this and the existence of a
hypothetical 3-dimensional gauge theory, we give a physical interpretation of
the Gauss quadratic reciprocity law by a sort of S-duality.

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