2019/10/26 by Susama Agarwala, Agarwala, Susama, Siân Fryer +3
Computer Science · Engineering · Mathematics · #81T60 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Muon and positron interactions and applications
paper · pdf · doi:10.48550/arxiv.1910.12158
openalex publication_date 2019/10/26 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
Wilson loop diagrams are an important tool in studying scattering amplitudes\nof SYM N=4 theory and are known by previous work to be associated to\npositroids. In this paper we study the structure of the associated positroids,\nas well as the structure of the denominator of the integrand defined by each\ndiagram. We give an algorithm to derive the Grassmann necklace of the\nassociated positroid directly from the Wilson loop diagram, and a recursive\nproof that the dimension of these cells is thrice the number of propagators in\nthe diagram. We also show that the ideal generated by the denominator in the\nintegrand is the radical of the ideal generated by the product of Grassmann\nnecklace minors.\n