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TMF, 1983, Volume 56, Number 3, Pages 344–349 (Mi tmf2217)  

This article is cited in 9 scientific papers (total in 9 papers)

Quantum superconformal model in $(1,2)$ space

V. P. Akulov, A. I. Pashnev


Abstract: A Lagrangian invariant with respect to superconformal transformations in $(1,2)$ superspace is proposed. An exact solution of the system of nonlinear equations is obtained for interacting Bose and Fermi fields. Both the classical and the quantum aspects of the problem are considered. The complete spectrum of quantum states of the system described by the proposed Lagrangian is constructed by a generalization of the method developed by de Alfaro, Fubini, and Furlan.

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English version:
Theoretical and Mathematical Physics, 1983, 56:3, 862–866

Bibliographic databases:

Received: 23.12.1982

Citation: V. P. Akulov, A. I. Pashnev, “Quantum superconformal model in $(1,2)$ space”, TMF, 56:3 (1983), 344–349; Theoret. and Math. Phys., 56:3 (1983), 862–866

Citation in format AMSBIB
\Bibitem{AkuPas83}
\by V.~P.~Akulov, A.~I.~Pashnev
\paper Quantum superconformal model in~$(1,2)$ space
\jour TMF
\yr 1983
\vol 56
\issue 3
\pages 344--349
\mathnet{http://mi.mathnet.ru/tmf2217}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 56
\issue 3
\pages 862--866
\crossref{https://doi.org/10.1007/BF01086252}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1983SL29700002}


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

    This publication is cited in the following articles:
    1. A. A. Andrianov, N. V. Borisov, M. V. Ioffe, M. I. Eides, “Supersymmetric mechanics: A new look at the equivalence of quantum systems”, Theoret. and Math. Phys., 61:1 (1984), 965–972  mathnet  crossref  mathscinet  isi
    2. M. D. Vardiashvili, V. A. Matveev, L. A. Slepchenko, “Coulomb problem in supersymmetric quantum mechanics”, Theoret. and Math. Phys., 78:2 (1989), 211–216  mathnet  crossref  mathscinet  isi
    3. Nersessian, A, “Large massive 4d article with torsion and conformal mechanics”, Physics Letters B, 473:1–2 (2000), 94  crossref  isi
    4. E. A. Ivanov, “Conformal Theories–A{d}S Branes Transform, or One More Face of A{d}S/CFT”, Theoret. and Math. Phys., 139:1 (2004), 513–528  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. Ivanov, EA, “AdS branes from partial breaking of superconformal symmetries”, Physics of Atomic Nuclei, 68:10 (2005), 1713  crossref  isi
    6. Ivanov, E, “Biharmonic superspace for N=4 mechanics”, Physical Review D, 80:6 (2009), 065027  crossref  isi
    7. Deur A., Brodsky S.J., de Teramond G.F., “The QCD running coupling”, Prog. Part. Nucl. Phys., 90 (2016), 1–74  crossref  isi  elib  scopus
    8. Andrzejewski K., Ann. Phys., 367 (2016), 227–250  crossref  mathscinet  isi  elib  scopus
    9. Carinena J.F. Inzunza L. Plyushchay M.S., “Rational Deformations of Conformal Mechanics”, Phys. Rev. D, 98:2 (2018), 026017  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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