Angle Defect for Super Triangles

Robert Penner

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arXiv · 2208.06826

Angle Defect for Super Triangles

Robert Penner

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Abstract

We prove that the angle defect minus the area of a super hyperbolic triangle is not identically zero and explicitly compute the purely fermionic difference. This disproves the Angle Defect Theorem for N=1 super hyperbolic geometry and provides a novel non-trivial additive function of super triangles. The proof techniques involve the real orthosymplectic group OSp(1|2) in its action on the real super Minkowski space of dimension 2,1|1 and brute-force computation.

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Robert Penner. 2022-08-14. Angle Defect for Super Triangles. https://arxiv.org/abs/2208.06826

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