Multidimensional analogues of the geometrics⇌t duality
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.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- July 2000
- DOI:
- arXiv:
- arXiv:solv-int/9911008
- Bibcode:
- 2000TMP...124..999K
- Keywords:
-
- Edge Length;
- Simplicial Complex;
- Elementary Transformation;
- Multidimensional Analogue;
- Multidimensional Generalization;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Condensed Matter;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- LaTeX2e, pictures using emlines. In this re-submission, an English version of the paper is added (9 pages, file english.tex) to the originally submitted file in Russian (10 pages, russian.tex)