BKP plane partitions

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Published 19 January 2007 • Published under licence by IOP Publishing Ltd
, , Citation Omar Foda and Michael Wheeler JHEP01(2007)075 DOI 10.1088/1126-6708/2007/01/075

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1 Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010, Australia

Dates

  1. Received 6 December 2006
  2. Accepted 5 January 2007
  3. Published

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1126-6708/2007/01/075

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.

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