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Bipartite Field Theories, Cluster Algebras and the Grassmannian

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arxiv 1404.3752 v1 pith:PRFUKFH3 submitted 2014-04-14 hep-th math-phmath.AGmath.COmath.MPmath.QA

Bipartite Field Theories, Cluster Algebras and the Grassmannian

classification hep-th math-phmath.AGmath.COmath.MPmath.QA
keywords grassmannianalgebrasbipartiteclusterfieldtheoriesapplicationscalabi-yau
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Towards Generalized Dimers for GTPs: $\mathcal{N}=2$ Fractional Branes at Infinite Coupling

    hep-th 2026-07 conditional novelty 7.0

    N=2 strip condensation — collapsing parallel zig-zag strips in brane tilings — reproduces the expected number of gauge groups and yields GTP quivers related to toric ones by relevant deformations.