Gale-robinson sequences and brane tilings

In Jee Jeong, Gregg Musiker, Sicong Zhang

Research output: Contribution to journalConference articlepeer-review

9 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)707-718
Number of pages12
JournalDiscrete Mathematics and Theoretical Computer Science
StatePublished - 2013
Event25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France
Duration: Jun 24 2013Jun 28 2013

Keywords

  • Aztec diamonds
  • Brane tilings
  • Cluster algebras
  • F-polynomials
  • Gale-robinson recurrence
  • Perfect matchings
  • Principal coefficients
  • Seiberg dualities

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