Gale-Robinson Sequences and Brane Tilings

In-Jee Jeong; Gregg Musiker; Sicong Zhang

doi:10.46298/dmtcs.2336

Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2013

Gale-Robinson Sequences and Brane Tilings

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In-Jee Jeong

Function : Author

Department of Mathematics

Gregg Musiker

Function : Author

School of Mathematics

Sicong Zhang

Function : Author

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

cluster algebras principal coefficients F-polynomials Aztec diamonds Gale-Robinson recurrence perfect matchings brane tilings Seiberg dualities

Domains

Discrete Mathematics [cs.DM]

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https://inria.hal.science/hal-01229673

Submitted on : Tuesday, November 17, 2015-10:19:42 AM

Last modification on : Friday, April 19, 2024-11:10:03 AM

Long-term archiving on : Thursday, February 18, 2016-11:35:22 AM

Dates and versions

hal-01229673 , version 1 (17-11-2015)

Identifiers

HAL Id : hal-01229673 , version 1
DOI : 10.46298/dmtcs.2336

Cite

In-Jee Jeong, Gregg Musiker, Sicong Zhang. Gale-Robinson Sequences and Brane Tilings. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.707-718, ⟨10.46298/dmtcs.2336⟩. ⟨hal-01229673⟩

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Gale-Robinson Sequences and Brane Tilings

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