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TMF, 1993, Volume 95, Number 2, Pages 307–316 (Mi tmf1469)  

This article is cited in 7 scientific papers (total in 7 papers)

{Descendants constructed from matter field in Landau–Ginzburg theories coupled to topological gravity}

A. S. Losev


Abstract: It is argued that gravitational descendants in the theory of topological gravity coupled to topological Landau–Ginzburg theory(not necessarily conformal) can be constructed from matter fields alone (without metric fields and \hbox {ghosts}). In this sense topological gravity is “induced”. We discuss the mechanism of this effect (that turns out to be connected with K. Saito's higher residue pairing: $K^i(\sigma _i (\Phi _1), \Phi _2)=K^0(\Phi _1, \Phi _2)$),and demonstrate how it works in a simplest nontrivial example: correlator on a sphere with four marked points. We also discuss some results on $k$-point correlators on a sphere. From the idea of “induced” topological gravity it follows that the theory of “pure” topological gravity (without topological matter) is equivalent to the “trivial” Landau–Ginzburg theory (with quadratic superpotential).

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English version:
Theoretical and Mathematical Physics, 1993, 95:2, 595–603

Bibliographic databases:


Citation: A. S. Losev, “{Descendants constructed from matter field in Landau–Ginzburg theories coupled to topological gravity}”, TMF, 95:2 (1993), 307–316; Theoret. and Math. Phys., 95:2 (1993), 595–603

Citation in format AMSBIB
\Bibitem{Los93}
\by A.~S.~Losev
\paper {Descendants constructed from matter field in Landau--Ginzburg theories coupled to
topological gravity}
\jour TMF
\yr 1993
\vol 95
\issue 2
\pages 307--316
\mathnet{http://mi.mathnet.ru/tmf1469}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1243257}
\zmath{https://zbmath.org/?q=an:0847.53057}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 2
\pages 595--603
\crossref{https://doi.org/10.1007/BF01017145}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993ML10100014}


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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. S. Losev, “On structure and open problems in topological theories coupled to topological gravity”, Theoret. and Math. Phys., 100:1 (1994), 879–885  mathnet  crossref  mathscinet  zmath  isi
    2. A. V. Marshakov, “On integrable systems and supersymmetric gauge theories”, Theoret. and Math. Phys., 112:1 (1997), 791–826  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. JETP Letters, 77:2 (2003), 53–57  mathnet  crossref
    4. Marshakov A., “Seiberg-Witten theory and extended Toda hierarchy”, Journal of High Energy Physics, 2008, no. 3, 055  crossref  mathscinet  isi
    5. A. V. Marshakov, “Non-Abelian gauge theories, prepotentials, and Abelian differentials”, Theoret. and Math. Phys., 159:2 (2009), 598–617  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. Marshakov A., “On Nonabelian Theories and Abelian Differentials”, Differential Equations: Geometry, Symmetries and Integrability - the Abel Symposium 2008, Abel Symposia, 5, 2009, 257–274  isi
    7. Marshakov, A, “From Geometry of Jets to Quasiclassical Hierarchies”, Acta Applicandae Mathematicae, 109:1 (2010), 223  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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