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New Directions in Bipartite Field Theories

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arxiv 1211.5139 v2 pith:QU5TVVHV submitted 2012-11-21 hep-th math-phmath.AGmath.COmath.MP

classification hep-thmath-phmath.AGmath.COmath.MP
keywords theoriesgraphsbftsbipartiteclassfieldgaugemoduli
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We perform a detailed investigation of Bipartite Field Theories (BFTs), a general class of 4d N=1 gauge theories which are defined by bipartite graphs. This class of theories is considerably expanded by identifying a new way of assigning gauge symmetries to graphs. A new procedure is introduced in order to determine the toric Calabi-Yau moduli spaces of BFTs. For graphs on a disk, we show that the matroid polytope for the corresponding cell in the Grassmannian coincides with the toric diagram of the BFT moduli space. A systematic BFT prescription for determining graph reductions is presented. We illustrate our ideas in infinite classes of BFTs and introduce various operations for generating new theories from existing ones. Particular emphasis is given to theories associated to non-planar graphs.

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Cited by 2 Pith papers

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

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

    hep-th 2026-07 conditional novelty 7.0 of 10

    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.

  2. Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings

    hep-th 2026-08 conditional novelty 6.0 of 10

    Three families of tilting mutations on brane tilings produce quiver-invariant dualities, linking five doublets and one triplet of toric phases of H^{1,1,2,1}.

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