Enumeration of plane partitions and the algebraic Bethe ansatz

DOI10.1007/s11232-007-0012-5zbMath1127.82016OpenAlexW2003859556MaRDI QIDQ2641511

N. M. Bogolyubov

Publication date: 20 August 2007

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-007-0012-5

zbMATH Keywords

Bethe ansatzintegrable modelsplane partitions

Mathematics Subject Classification ID

Partitions of sets (05A18) Exactly solvable models; Bethe ansatz (82B23)

Related Items (11)

Four-vertex model ⋮ Quantum quenches and generalized Gibbs ensemble in a Bethe Ansatz solvable lattice model of interacting bosons ⋮ Real-time dynamics in a strongly interacting bosonic hopping model: global quenches and mapping to the XX chain ⋮ The phase model and the norm-trace generating function of plane partitions ⋮ Enumeration of plane partitions with a restricted number of parts ⋮ Combinatorics of a strongly coupled boson system ⋮ Five-vertex model with fixed boundary conditions ⋮ Four-vertex model and random tilings ⋮ A statistical mechanical approach to restricted integer partition functions ⋮ Correlation functions for a strongly coupled boson system and plane partitions ⋮ Form factors, plane partitions, and random walks

Cites Work

• Statistical mechanics of combinatorial partitions, and their limit shapes
• Correlation functions for a strongly correlated boson system
• Step fluctuations for a faceted crystal
• On the spectrum of the non-Hermitian phase-difference model
• Boxed plane partitions as an exactly solvable boson model
• Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
• TheA_kgeneralization of theO(1) loop model on a cylinder: affine Hecke algebra,q-KZ equation and the sum rule
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