S. E. Konstein, “Three-particle Calogero model: Supertraces and ideals on the observables algebra”, TMF, 116:1 (1998), 122–133; Theoret. and Math. Phys., 116:1 (1998), 836

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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 1, Pages 122–133
DOI: https://doi.org/10.4213/tmf892 (Mi tmf892)

This article is cited in 6 scientific papers (total in 6 papers)

Three-particle Calogero model: Supertraces and ideals on the observables algebra

S. E. Konstein

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Full-text PDF (222 kB) Citations (6)

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DOI: https://doi.org/10.4213/tmf892

Abstract: The associative observables superalgebra of the three-particle Calogero model giving all its wave functions via the standard Fock procedure has two independent supertraces. When the coupling constant

$\nu$ is

$n\pm1/3$ or

$n+1/2$ , the existence of two independent supertraces leads to the existence of a nontrivial two-sided ideal in the observables superalgebra for any integer

$n$ .

Received: 02.12.1997

English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 1, Pages 836–845
DOI: https://doi.org/10.1007/BF02557126

Bibliographic databases:

Language: Russian

Citation: S. E. Konstein, “Three-particle Calogero model: Supertraces and ideals on the observables algebra”, TMF, 116:1 (1998), 122–133; Theoret. and Math. Phys., 116:1 (1998), 836–845

Citation in format AMSBIB

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\pages 836--845

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Linking options:

https://www.mathnet.ru/eng/tmf892

https://doi.org/10.4213/tmf892

https://www.mathnet.ru/eng/tmf/v116/i1/p122

This publication is cited in the following 6 articles:

Konstein S.E., Tyutin V I., “Connection Between the Ideals Generated By Traces and By Supertraces in the Superalgebras of Observables of Calogero Models”, J. Nonlinear Math. Phys., 27:1 (2020), 7–11
S.E. Konstein, I.V. Tyutin, “Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models”, JNMP, 27:1 (2019), 7
Konstein S.E. Tyutin I.V., “Ideals Generated By Traces Or By Supertraces in the Symplectic Reflection Algebra H-1,H-V(i-2(2M+1))”, J. Nonlinear Math. Phys., 24:3 (2017), 405–425
S. E. Konstein, I. V. Tyutin, “Ideals generated by traces in the algebra of symplectic reflections $H_{1,\nu_1,\nu_2}(I_2(2m))$ ”, Theoret. and Math. Phys., 187:2 (2016), 706–717
Konstein S.E., Tyutin I.V., “The Number of Independent Traces and Supertraces on Symplectic Reflection Algebras”, J. Nonlinear Math. Phys., 21:3 (2014), 308–335
Konstein S.E., Tyutin I.V., “Traces on the Algebra of Observables of the Rational Calogero Model Based on the Root System”, J. Nonlinear Math. Phys., 20:2 (2013), 271–294

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	194
References:	70
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