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Pis'ma v Zh. Èksper. Teoret. Fiz., 2006, Volume 84, Issue 8, Pages 496–502 (Mi jetpl1163)  

This article is cited in 15 scientific papers (total in 15 papers)

FIELDS, PARTICLES, AND NUCLEI

Higher Equations of Motion in $N=1$ SUSY Liouville Field Theory

A. A. Belavina, Al. B. Zamolodchikovbc

a L. D. Landau Institute for Theoretical Physics, RAS
b Institute for Theoretical and Experimental Physics
c Laboratoire de Physique Théorique et Astroparticules, Université Montpelier II, 34095 Montpelier, France

Abstract: Similarly to the ordinary bosonic Liouville field theory, in its $N=1$ supersymmetric version an infinite set of operator valued relations, the “higher equations of motions”, hold. Equations are in one to one correspondence with the singular representations of the super Virasoro algebra and enumerated by a couple of natural numbers $(m,n)$. We demonstrate explicitly these equations in the classical case, where the equations of type $(1,n)$ survive and can be interpreted directly as relations for classical fields. The general form of higher equations of motion is established in the quantum case, both for the Neveu-Schwarz and Ramond series.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2006, 84:8, 418–424

Bibliographic databases:

PACS: 11.25.Hf
Received: 18.09.2006
Revised: 21.09.2006
Language:

Citation: A. A. Belavin, Al. B. Zamolodchikov, “Higher Equations of Motion in $N=1$ SUSY Liouville Field Theory”, Pis'ma v Zh. Èksper. Teoret. Fiz., 84:8 (2006), 496–502; JETP Letters, 84:8 (2006), 418–424

Citation in format AMSBIB
\Bibitem{BelZam06}
\by A.~A.~Belavin, Al.~B.~Zamolodchikov
\paper Higher Equations of Motion in $N=1$ SUSY Liouville Field Theory
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2006
\vol 84
\issue 8
\pages 496--502
\mathnet{http://mi.mathnet.ru/jetpl1163}
\transl
\jour JETP Letters
\yr 2006
\vol 84
\issue 8
\pages 418--424
\crossref{https://doi.org/10.1134/S0021364006200033}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000243046500003}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845794922}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Belavin, Theoret. and Math. Phys., 152:3 (2007), 1275–1285  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. Belavin A., Belavin V., Neveu A., Zamolodchikov A., Nuclear Phys B, 784:3 (2007), 202–233  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Hadasz L., Jaskolski Z., Suchanek P., Journal of High Energy Physics, 2007, no. 3, 032  crossref  mathscinet  isi  scopus
    4. Suchanek P., Acta Phys Polon B, 39:12 (2008), 3163–3172  adsnasa  isi  elib
    5. Hadasz L., Jaskolski Z., Suchanek P., Journal of High Energy Physics, 2008, no. 11, 060  crossref  mathscinet  isi  scopus
    6. Belavin V.A., Nuclear Phys B, 798:3 (2008), 423–442  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. V. A. Belavin, Theoret. and Math. Phys., 161:1 (2009), 1361–1375  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. Belavin A., Belavin V., Journal of Physics A-Mathematical and Theoretical, 42:30 (2009), 304003  crossref  mathscinet  zmath  isi  scopus
    9. Suchanek P., Journal of High Energy Physics, 2011, no. 2, 090  crossref  mathscinet  zmath  isi  scopus
    10. Ahn Ch., Stanishkov M., Stoilov M., Phys Lett B, 695:5 (2011), 501–506  crossref  mathscinet  adsnasa  isi  elib  scopus
    11. Yanagida Sh., Lett Math Phys, 98:2 (2011), 133–156  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    12. Belavin V., Feigin B., Journal of High Energy Physics, 2011, no. 7, 079  crossref  mathscinet  zmath  isi  scopus
    13. Hadasz L., Jaskolski Z., Suchanek P., J. High Energy Phys., 2012, no. 9, 122  crossref  isi  scopus
    14. Ciosmak P., Hadasz L., Manabe M., Sulkowski P., J. High Energy Phys., 2016, no. 10, 044  crossref  mathscinet  isi  elib  scopus
    15. Ciosmak P., Hadasz L., Manabe M., Sulkowski P., Topological Recursion and Its Influence in Analysis, Geometry, and Topology, Proceedings of Symposia in Pure Mathematics, 100, eds. Liu C., Mulase M., Amer Mathematical Soc, 2018, 119–149  crossref  isi
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