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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 509, Pages 25–38 (Mi znsl7177)  

Cauchy–Binet determinantal identity and enumeration of plane partitions in a high box

N. M. Bogoliubov, C. L. Malyshev

St.Petersburg Department of Steklov Institute of Mathematics, RAS, Fontanka 27, St.Petersburg, Russia
References:
Abstract: The amplitudes of the leading asymptotics of the $XX0$ Heisenberg spin chain depend on the generating function of plane partitions with the additional conditions. In our paper we apply the Cauchy–Binet determinantal identity for derivation of the generating function of plane partitions with the fixed conjugate trace in a high box.
Key words and phrases: correlation functions, Heisenberg spin chain, plane partitions, Cauchy–Binet determinantal identity.
Funding agency Grant number
Russian Science Foundation 18-11-00297
This work was supported by the Russian Science Foundation (Grant 18-11-00297).
Received: 01.12.2021
Document Type: Article
UDC: 517
Language: English
Citation: N. M. Bogoliubov, C. L. Malyshev, “Cauchy–Binet determinantal identity and enumeration of plane partitions in a high box”, Questions of quantum field theory and statistical physics. Part 28, Zap. Nauchn. Sem. POMI, 509, POMI, St. Petersburg, 2021, 25–38
Citation in format AMSBIB
\Bibitem{BogMal21}
\by N.~M.~Bogoliubov, C.~L.~Malyshev
\paper Cauchy--Binet determinantal identity and enumeration of plane partitions in a high box
\inbook Questions of quantum field theory and statistical physics. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 509
\pages 25--38
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7177}
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  • https://www.mathnet.ru/eng/znsl/v509/p25
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