On free fermions and plane partitions

Abstract

We use free fermion methods to re-derive a result of Okounkov and Reshetikhin relating charged fermions to random plane partitions, and to extend it to relate neutral fermions to strict plane partitions.

21 pages, figures included in latex

References in corpus (1)

• BKP plane partitions

Cited by in corpus (6)

• Multiple sums and integrals as neutral BKP tau functions
• Free fermions in classical and quantum integrable models
• A note on Cauchy's formula
• Correlation functions of charged free boson and fermion systems
• The Dirac Sea for the Non-Separable Hilbert Spaces
• $(q,t)$-deformations of multivariate hook product formulae