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This article is cited in 15 scientific papers (total in 15 papers)
Enumeration of plane partitions and the algebraic Bethe anzatz
N. M. Bogolyubov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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.
Keywords:
integrable models, Bethe anzatz, plane partitions.
Received: 01.05.2006
Citation:
N. M. Bogolyubov, “Enumeration of plane partitions and the algebraic Bethe anzatz”, TMF, 150:2 (2007), 193–203; Theoret. and Math. Phys., 150:2 (2007), 165–174
Linking options:
https://www.mathnet.ru/eng/tmf5973https://doi.org/10.4213/tmf5973 https://www.mathnet.ru/eng/tmf/v150/i2/p193
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Abstract page: | 772 | Full-text PDF : | 241 | References: | 43 | First page: | 3 |
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