Abstract
We introduce a matrix model describing the fully packed O(n) model on random Eulerian triangulations (i.e. triangulations with all vertices of even valency). For n = 1 the model is mapped onto a particular gravitational 6-vertex model with central charge c = 1, hence displaying the expected shift c → c + 1 when going from ordinary random triangulations to Eulerian ones. The case of arbitrary n is also discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 657-667 |
| Number of pages | 11 |
| Journal | Nuclear Physics B |
| Volume | 549 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 7 1999 |
| Externally published | Yes |
Keywords
- Fully packed o(n) model
- Gravitational 6-vertex model
- Meanders
- Random eulerian lattice
- Zero-temperature anti-ferromagnetic ising model
ASJC Scopus subject areas
- Nuclear and High Energy Physics