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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 3, Pages 416–439
DOI: https://doi.org/10.4213/tmf10047 (Mi tmf10047) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Notes about the KP/BKP correspondence

A. Yu. Orlovab

a Shirshov Institute for Oceanology, Russian Academy of Sciences, Moscow, Russia
b Alikhanov Institute for Theoretical and Experimental Physics, National Research Center "Kurchatov Institute", Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10047
Abstract: We present a set of remarks related to previous work. These are remarks on polynomials solutions, the application of the Wick theorem, examples of creation of polynomial solutions with the help of vertex operators, the eigenproblem for polynomials, and a remark on the conjecture by Alexandrov and Mironov, Morozov about the ratios of the projective Schur functions. New results on the bilinear relations between characters of the symmetric group and the Sergeev group and on bilinear relations between skew Schur and projective Schur functions and also between shifted Schur and projective Schur functions are added. Certain new matrix models are discussed.
Keywords: KP tau function, BKP tau function, Schur function, projective Schur function, shifted Schur function, character of symmetric group, character of Sergeev group, symmetric polynomial, vertex operator, eigenvalue problem.
Funding agency Grant number
Russian Science Foundation 20-12-00195
The work was supported by the Russian Science Foundation grant No. 20-12-00195.
Received: 26.12.2020
Revised: 26.03.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 3, Pages 1207–1227
DOI: https://doi.org/10.1134/S004057792109004X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Orlov, “Notes about the KP/BKP correspondence”, TMF, 208:3 (2021), 416–439; Theoret. and Math. Phys., 208:3 (2021), 1207–1227
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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