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Pis'ma v Zh. Èksper. Teoret. Fiz., 2005, Volume 82, Issue 1, Pages 8–14 (Mi jetpl1496)  

This article is cited in 8 scientific papers (total in 8 papers)

FIELDS, PARTICLES, AND NUCLEI

Moduli integrals and ground ring in minimal liouville gravity

A. A. Belavina, Al. B. Zamolodchikovb

a L. D. Landau Institute for Theoretical Physics, RAS, 142432 Chernogolovka, Moscov reg., Russia
b Laboratoire de Physique Théorique et Astroparticules, Université Montpelier II, Pl.E. Bataillon, 34095 Montpelier, France

Abstract: Straightforward evaluation of the correlation functions in 2D minimal gravity requires integration over the moduli space. For degenerate fields the Liouville higher equations of motion allow to turn the integrand to a derivative and thus to reduce it to the boundary terms plus so-called curvature contribution. The last is directly related to the expectation value of the corresponding ground ring element. We use the operator product expansion technique to reproduce the ground ring construction explicitly in terms of the (generalized) minimal matter and Liouville degenerate fields. The action of the ground ring on the generic primary fields is evaluated explicitly. This permits us to construct directly the ground ring algebra. Detailed analysis of the ground ring mechanism is helpful in the understanding of the boundary terms and their evaluation.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2005, 82:1, 7–13

Bibliographic databases:

PACS: 11.25.Hf
Received: 01.06.2005
Language:

Citation: A. A. Belavin, Al. B. Zamolodchikov, “Moduli integrals and ground ring in minimal liouville gravity”, Pis'ma v Zh. Èksper. Teoret. Fiz., 82:1 (2005), 8–14; JETP Letters, 82:1 (2005), 7–13

Citation in format AMSBIB
\Bibitem{BelZam05}
\by A.~A.~Belavin, Al.~B.~Zamolodchikov
\paper Moduli integrals and ground ring in minimal liouville gravity
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2005
\vol 82
\issue 1
\pages 8--14
\mathnet{http://mi.mathnet.ru/jetpl1496}
\transl
\jour JETP Letters
\yr 2005
\vol 82
\issue 1
\pages 7--13
\crossref{https://doi.org/10.1134/1.2045329}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000231907500002}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-25144439901}


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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. A. A. Belavin, Al. B. Zamolodchikov, Theoret. and Math. Phys., 147:3 (2006), 729–754  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. Ishimoto Yu., Czechoslovak J Phys, 56:10–11 (2006), 1203–1210  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Delfino G., Niccoli G., Journal of High Energy Physics, 2006, no. 5, 035  crossref  mathscinet  isi
    4. V. A. Fateev, A. V. Litvinov, Theoret. and Math. Phys., 154:3 (2008), 454–472  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. V. A. Belavin, Theoret. and Math. Phys., 161:1 (2009), 1361–1375  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. Belavin A., Belavin V., Journal of Physics A-Mathematical and Theoretical, 42:30 (2009), 304003  crossref  mathscinet  zmath  isi  scopus
    7. Fateev V.A., Pugai Y.P., Journal of Physics A-Mathematical and Theoretical, 42:30 (2009), 304013  crossref  mathscinet  zmath  isi  scopus
    8. Balthazar B., Rodriguez V.A., Yin X., J. High Energy Phys., 2019, no. 4, 145  crossref  isi  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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