English

BKP plane partitions

Mathematical Physics 2010-10-27 v1 High Energy Physics - Theory Combinatorics math.MP

Abstract

Using BKP neutral fermions, we derive a product expression for the generating function of volume-weighted plane partitions that satisfy two conditions. If we call a set of adjacent equal height-h columns, h > 0, an h-path, then 1. Every h-path can assume one of two possible colours. 2. There is a unique way to move along an h-path from any column to another.

Cite

@article{arxiv.math-ph/0612018,
  title  = {BKP plane partitions},
  author = {O Foda and M Wheeler},
  journal= {arXiv preprint arXiv:math-ph/0612018},
  year   = {2010}
}