Enumeration of plane partitions and the algebraic Bethe anzatz |
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Authors: | N M Bogoliubov |
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Institution: | (1) St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia |
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Abstract: | We establish a relation between an exactly solvable boson model and plane partitions, i.e., three-dimensional Young diagrams
enclosed in a box of finite size, which allows representing the partition generating functions as correlation functions of
an integrable model and deriving the MacMahon formulas for enumerating partitions using the quantum inverse scattering method.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 193–203, February, 2007. |
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Keywords: | integrable models Bethe anzatz plane partitions |
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