BKP plane partitions

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1088/1126-6708/2007/01/075

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.

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