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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 71, Number 2, Pages 218–225 (Mi tmf4933)  

This article is cited in 22 scientific papers (total in 22 papers)

Para-grassmann extension of the Neveu–Schwarz–Ramond algebra

A. A. Zheltukhin
References:
Abstract: A para-Grassmann analogue of the O(2)O(2)-extended superconformal Neveu–Schwartz–Ramond algebra is suggested. A parafermionic string model is formulated and it is shown that its critical dimension D=2D=2.
Received: 16.12.1985
English version:
Theoretical and Mathematical Physics, 1987, Volume 71, Issue 2, Pages 491–496
DOI: https://doi.org/10.1007/BF01028648
Bibliographic databases:
Language: Russian
Citation: A. A. Zheltukhin, “Para-grassmann extension of the Neveu–Schwarz–Ramond algebra”, TMF, 71:2 (1987), 218–225; Theoret. and Math. Phys., 71:2 (1987), 491–496
Citation in format AMSBIB
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\by A.~A.~Zheltukhin
\paper Para-grassmann extension of the Neveu--Schwarz--Ramond algebra
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\vol 71
\issue 2
\pages 218--225
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=911669}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 71
\issue 2
\pages 491--496
\crossref{https://doi.org/10.1007/BF01028648}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987L510600005}
Linking options:
  • https://www.mathnet.ru/eng/tmf4933
  • https://www.mathnet.ru/eng/tmf/v71/i2/p218
  • This publication is cited in the following 22 articles:
    1. Naruhiko Aizawa, Ren Ito, Toshiya Tanaka, “$ \mathcal{N} = 2 $ double graded supersymmetric quantum mechanics via dimensional reduction”, MATH, 9:5 (2024), 10494  crossref
    2. N Aizawa, Ren Ito, Toshiya Tanaka, “Z22-graded supersymmetry via superfield on minimalZ22-superspace”, J. Phys. A: Math. Theor., 57:43 (2024), 435201  crossref
    3. Naruhiko Aizawa, Ren Ito, Zhanna Kuznetsova, Francesco Toppan, “New aspects of the Z2×Z2-graded 1D superspace: Induced strings and 2D relativistic models”, Nuclear Physics B, 991 (2023), 116202  crossref
    4. Francesco Toppan, “Inequivalent quantizations from gradings and
      Z2×Z2
      parabosons”, J. Phys. A: Math. Theor., 54:35 (2021), 355202  crossref
    5. Francesco Toppan, “Z2×Z2
      -graded parastatistics in multiparticle quantum Hamiltonians”, J. Phys. A: Math. Theor., 54:11 (2021), 115203  crossref
    6. K. Amakawa, N. Aizawa, “A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2)”, Journal of Mathematical Physics, 62:4 (2021)  crossref
    7. N. Aizawa, Z. Kuznetsova, F. Toppan, “Z2×Z2-graded mechanics: The quantization”, Nuclear Physics B, 967 (2021), 115426  crossref
    8. Zhanna Kuznetsova, Francesco Toppan, “Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications”, Journal of Mathematical Physics, 62:6 (2021)  crossref
    9. N. Aizawa, Z. Kuznetsova, F. Toppan, “${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$-graded mechanics: the classical theory”, Eur. Phys. J. C, 80:7 (2020)  crossref
    10. N Aizawa, K Amakawa, S Doi, “${\mathcal N}$ -extension of double-graded supersymmetric and superconformal quantum mechanics”, J. Phys. A: Math. Theor., 53:6 (2020), 065205  crossref
    11. N. Aizawa, K. Amakawa, S. Doi, “Z 2 n -graded extensions of supersymmetric quantum mechanics via Clifford algebras”, Journal of Mathematical Physics, 61:5 (2020)  crossref
    12. N. Aizawa, P.S. Isaac, J. Segar, “ℤ2 × ℤ2-Generalizations of Infinite-Dimensional Lie Superalgebra of Conformal Type with Complete Classification of Central Extensions”, Reports on Mathematical Physics, 85:3 (2020), 351  crossref
    13. N. Aizawa, P. S. Isaac, J. Segar, “Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations”, Journal of Mathematical Physics, 60:2 (2019)  crossref
    14. Andrew Bruce, “On a ℤ2n-Graded Version of Supersymmetry”, Symmetry, 11:1 (2019), 116  crossref
    15. Naruhiko Aizawa, “Generalization of Superalgebras to Color Superalgebras and Their Representations”, Adv. Appl. Clifford Algebras, 28:1 (2018)  crossref
    16. Toufik Mansour, Ranya Rayan, “On Cauchy-Euler's differential equation involving a para-Grassmann variable”, Journal of Mathematical Physics, 59:10 (2018)  crossref
    17. N. Aizawa, J. Segar, “Z 2 × Z 2 generalizations of 𝒩=2 super Schrödinger algebras and their representations”, Journal of Mathematical Physics, 58:11 (2017)  crossref
    18. N. Aizawa, Z. Kuznetsova, H. Tanaka, F. Toppan, “$\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations”, Prog. Theor. Exp. Phys., 2016:12 (2016), 123A01  crossref
    19. V. N. Tolstoy, Springer Proceedings in Mathematics & Statistics, 111, Lie Theory and Its Applications in Physics, 2014, 357  crossref
    20. Toufik Mansour, Matthias Schork, “On linear differential equations with variable coefficients involving a para-Grassmann variable”, Journal of Mathematical Physics, 51:4 (2010)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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