TL;DR
This paper explores the connection between S-duality in theoretical physics and the Gauss quadratic reciprocity law, interpreting number theory through a conformal field theory framework and gauge theory concepts.
Contribution
It provides a novel physical interpretation of the Gauss reciprocity law using ideas from conformal field theory and S-duality, linking number theory with physics.
Findings
Interpretation of Tate's thesis via conformal field theory
Physical analogy for Gauss quadratic reciprocity law
Proposal of a hypothetical 3D gauge theory connection
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Geometric and Algebraic Topology · Advanced Operator Algebra Research