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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 1, Pages 169–176
DOI: https://doi.org/10.4213/tmf632 (Mi tmf632) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Multidimensional analogues of the geometric s↔ts↔t duality

I. G. Korepanov

South Ural State University
Full-text PDF (193 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf632
Abstract: Customarily, the s↔ts↔t duality property for scattering amplitudes, e.g., for the Veneziano amplitude, is naturally related to two-dimensional geometry. Saito and the author previously proposed a simple geometric construction of such amplitudes. Here, we construct analogues of one such amplitude related to multidimensional Euclidean spaces; the three-dimensional case is discussed in detail. The result is a variant of the Regge calculus closely related to integrable models.
Received: 29.11.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 1, Pages 999–1005
DOI: https://doi.org/10.1007/BF02551073
Bibliographic databases:
Language: Russian
Citation: I. G. Korepanov, “Multidimensional analogues of the geometric s↔ts↔t duality”, TMF, 124:1 (2000), 169–176; Theoret. and Math. Phys., 124:1 (2000), 999–1005
Citation in format AMSBIB
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\by I.~G.~Korepanov
\paper Multidimensional analogues of the geometric $s\leftrightarrow t$ duality
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\pages 169--176
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 124
\issue 1
\pages 999--1005
\crossref{https://doi.org/10.1007/BF02551073}
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  • https://doi.org/10.4213/tmf632
  • https://www.mathnet.ru/eng/tmf/v124/i1/p169
    • This publication is cited in the following 6 articles:
    1. Johanna N. Borissova, Bianca Dittrich, “Lorentzian quantum gravity via Pachner moves: one-loop evaluation”, J. High Energ. Phys., 2023:9 (2023)  crossref
    2. Dittrich B., Kaminski W., Steinhaus S., “Discretization Independence Implies Non-Locality in 4D Discrete Quantum Gravity”, Class. Quantum Gravity, 31:24 (2014), 245009  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Dittrich B., Steinhaus S., “Path integral measure and triangulation independence in discrete gravity”, Phys Rev D, 85:4 (2012), 044032  crossref  adsnasa  isi  elib  scopus  scopus
    4. I. G. Korepanov, “Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: I. Moves 3→33→3.”, Theoret. and Math. Phys., 131:3 (2002), 765–774  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. I. G. Korepanov, E. V. Martyushev, “A Classical Solution of the Pentagon Equation Related to the Group SL(2)SL(2)”, Theoret. and Math. Phys., 129:1 (2001), 1320–1324  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. Korepanov, IG, “Invariants of PL manifolds from metrized simplicial complexes. Three-dimensional case”, Journal of Nonlinear Mathematical Physics, 8:2 (2001), 196  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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