Bipartite Field Theories, Cluster Algebras and the Grassmannian
arXiv:1404.3752
Abstract
We review recent progress in Bipartite Field Theories. We cover topics such as their gauge dynamics, emergence of toric Calabi-Yau manifolds as master and moduli spaces, string theory embedding, relationships to on-shell diagrams, connections to cluster algebras and the Grassmannian, and applications to graph equivalence and stratification of the Grassmannian.
41 pages, 16 figures. Invited review to the special issue of the Journal of Physics A on Cluster Algebras in Mathematical Physics