Bipartite Field Theories, Cluster Algebras and the Grassmannian
High Energy Physics - Theory
2014-04-16 v1 Mathematical Physics
Algebraic Geometry
Combinatorics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1404.3752,
title = {Bipartite Field Theories, Cluster Algebras and the Grassmannian},
author = {Sebastian Franco and Daniele Galloni and Alberto Mariotti},
journal= {arXiv preprint arXiv:1404.3752},
year = {2014}
}
Comments
41 pages, 16 figures. Invited review to the special issue of the Journal of Physics A on Cluster Algebras in Mathematical Physics