Yang-Mills theory on the hypertorus

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Abstract
The invariance of pure Yang-Mills theory under the group O(4) × O(2), the maximal compact subgroup of the Minkowski conformal group, is made explicit by projecting the theory onto the surface of a hypertorus. The group O(4) × O(2) has previously arisen as the invariance group of the solution of De Alfaro, Fubini, and Furlan. We find a remarkably simple and elegant expression for this solution on the hypertorus. A new class of solutions is also constructed.