Gale-Robinson Sequences and Brane Tilings

In-Jee Jeong 1 Gregg Musiker 2 Sicong Zhang 3
1 Department of Mathematics
2 UMN-MATH - School of Mathematics
3 Department of Mathematics [New York]
Abstract : We study variants of Gale-Robinson sequences, as motivated by cluster algebras with principal coefficients. For such cases, we give combinatorial interpretations of cluster variables using brane tilings, as from the physics literature.
Keywords : Gale-Robinson recurrence perfect matchings brane tilings Seiberg dualities F-polynomials Aztec diamonds cluster algebras principal coefficients
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Communication dans un congrès
Alain Goupil and Gilles Schaeffer. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), pp.707-718, 2013, DMTCS Proceedings
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In-Jee Jeong, Gregg Musiker, Sicong Zhang. Gale-Robinson Sequences and Brane Tilings. Alain Goupil and Gilles Schaeffer. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), pp.707-718, 2013, DMTCS Proceedings. 〈hal-01229673〉

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