On free fermions and plane partitions
O Foda, M Wheeler, M Zuparic
TL;DR
This paper employs free fermion techniques to connect charged and neutral fermions with random and strict plane partitions, respectively, providing new insights into their combinatorial structures.
Contribution
It re-derives a known result linking charged fermions to plane partitions and extends it to neutral fermions and strict plane partitions using free fermion methods.
Findings
Re-derivation of Okounkov and Reshetikhin's result
Extension to neutral fermions and strict plane partitions
New connections between fermions and combinatorial objects
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.
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