Wilson loops in SYM \(\mathcal{N}=4\) do not parametrize an orientable space

DOI10.4171/AIHPD/111zbMath1483.81130arXiv1807.05397OpenAlexW3212425262MaRDI QIDQ824270

Cameron Marcott, Susama Agarwala

Publication date: 15 December 2021

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05397

zbMATH Keywords

Deodhar decompositionpositive GrassmanniansSYM \(\mathcal{N}=4\)

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Feynman diagrams (81T18) Decomposition methods (49M27) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Combinatorics of the geometry of Wilson loop diagrams II: Grassmann necklaces, dimensions, and denominators, Combinatorics of the geometry of Wilson loop diagrams I: equivalence classes via matroids and polytopes, Cancellation of spurious poles in \(N=4\) SYM: physical and geometric, A study in \(\mathbb{G}_{\mathbb{R} , \geq 0} ( 2 , 6 )\): from the geometric case book of Wilson loop diagrams and SYM \(N =4\), Combinatorics of the Deodhar decomposition of the Grassmannian

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