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An introduction to the dimer model

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arxiv math/0310326 v1 pith:3NTPSFTN submitted 2003-10-20 math.CO math-phmath.MP

Richard Kenyon This is my paper · ORCID
classification math.COmath-phmath.MP
keywords dimergivenictpintroductionlectureminicoursemodelnotes
verification ladder T0 review T1 audit T2 compute T3 formal
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Lecture notes from a minicourse given at the ICTP in May 2002.

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Cited by 5 Pith papers

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

  1. Abelian Orbifolds for Brane Brick Models

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A construction procedure that induces an abelian orbifold action on the fields and J/E-terms of a parent brane brick model for a toric CY4, yielding explicit orbifolded theories that preserve consistency conditions.

  2. Connectivity of Districting Metagraphs

    math.CO 2026-06 unverdicted novelty 7.0 of 10

    Proves irreducibility of ReCom chains on triangular-lattice subsets with 2-merged districts and on 3xn grids, plus an infinite family of counterexamples on lattice subdivisions where the chain is reducible.

  3. $Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    In 5d N=1 U(N) gauge theory, codimension-two defects produce Q-operators whose q-difference equations are the Baxter TQ equations of XXZ spin chains built on bi-infinite evaluation modules of quantum affine algebras.

  4. Quiver-Invariant Dualities between Brane Tilings

    hep-th 2026-01 conditional novelty 6.0 of 10

    A tilting mutation of brane tilings yields distinct superpotentials on the same quiver with identical mesonic moduli space, equivalent to a sequence of Seiberg dualities.

  5. Quiver superconformal index and giant gravitons: asymptotics and expansions

    hep-th 2025-09 conditional novelty 6.0 of 10

    For toric quiver theories, coefficients of the large-N superconformal index grow like exp(constant*sqrt(n)) times n^((m-5)/4) for the A-hat_m family, with polynomial growth for dP3 and Y^{p,0}.

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