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 language | English (US) |
|---|---|
| Pages (from-to) | 707-718 |
| Number of pages | 12 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| State | Published - 2013 |
| Event | 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: Jun 24 2013 → Jun 28 2013 |
Keywords
- Aztec diamonds
- Brane tilings
- Cluster algebras
- F-polynomials
- Gale-robinson recurrence
- Perfect matchings
- Principal coefficients
- Seiberg dualities