Positive Configuration Space

نویسندگان

چکیده

We define and study the totally nonnegative part of Chow quotient Grassmannian, or more simply configuration space. This space has a natural stratification by positive cells, we show that is homeomorphic to polytope as stratified establish bijections between cells following sets: (a) regular subdivisions hypersimplex into positroid polytopes, (b) set cones in tropical (c) Dressian. Our work motivated connections super Yang-Mills scattering amplitudes, which will be discussed sequel.

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2021

ISSN: ['0010-3616', '1432-0916']

DOI: https://doi.org/10.1007/s00220-021-04041-x