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Multidimensional analogues of the geometrics⇌t duality

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Abstract

Customarily, the s⇌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.

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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    I. G. Korepanov

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  1. I. G. Korepanov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 1, pp. 169–176, July, 2000.

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Korepanov, I.G. Multidimensional analogues of the geometrics⇌t duality. Theor Math Phys 124, 999–1005 (2000). https://doi.org/10.1007/BF02551073

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  • DOI: https://doi.org/10.1007/BF02551073

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