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This article is cited in 4 scientific papers (total in 4 papers)
Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation
I. G. Korepanova, S. Saitob a South Ural State University
b Tokyo Metropolitan University
Abstract:
We use a variant of the functional pentagon equation (FPE) from the theory of integrable models as an algebraic explanation of the phenomenon known in physics as the $s\leftrightarrow t$ duality. We present two simple geometric examples of FPE solutions, one of which yields the Veneziano four-particle amplitude as a particular case. We interpret our FPE solutions in terms of relations in Lie groups.
Received: 18.12.1998
Citation:
I. G. Korepanov, S. Saito, “Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation”, TMF, 120:1 (1999), 54–63; Theoret. and Math. Phys., 120:1 (1999), 862–869
Linking options:
https://www.mathnet.ru/eng/tmf759https://doi.org/10.4213/tmf759 https://www.mathnet.ru/eng/tmf/v120/i1/p54
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Abstract page: | 303 | Full-text PDF : | 257 | References: | 52 | First page: | 1 |
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