Ising model and the positive orthogonal Grassmannian

DOI10.1215/00127094-2019-0086zbMath1446.82008arXiv1807.03282OpenAlexW3024129362MaRDI QIDQ784208

Pavlo Pylyavskyy, Pavel Galashin

Publication date: 3 August 2020

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03282

zbMATH Keywords

total positivityelectrical networkstotally nonnegative Grassmannianorthogonal GrassmannianABJM scattering amplitudesGriffiths's inequalitiesKramers-Wannier dualityplanar Ising model

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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