dorsal/arxiv
View SchemaFinite-dimensional analogs of string s <-> t duality and pentagon equation
| Authors | I. G. Korepanov, S. Saito |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9812016 |
| URL | https://arxiv.org/abs/solv-int/9812016 |
| DOI | 10.1007/BF02557395 |
| Journal | Theor.Math.Phys. 120 (1999) 862-869; Teor.Mat.Fiz. 120 (1999) 54-63 |
Abstract
We put forward one of the forms of functional pentagon equation (FPE), known from the theory of integrable models, as an algebraic explanation to the phenomenon known in physics as s<->t duality. We present two simple geometrical examples of FPE solutions, one of them yielding in a particular case the well-known Veneziano expression for 4-particle amplitude. Finally, we interpret our solutions of FPE in terms of relations in Lie groups.
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"abstract": "We put forward one of the forms of functional pentagon equation (FPE), known\nfrom the theory of integrable models, as an algebraic explanation to the\nphenomenon known in physics as s\u003c-\u003et duality. We present two simple geometrical\nexamples of FPE solutions, one of them yielding in a particular case the\nwell-known Veneziano expression for 4-particle amplitude. Finally, we interpret\nour solutions of FPE in terms of relations in Lie groups.",
"arxiv_id": "solv-int/9812016",
"authors": [
"I. G. Korepanov",
"S. Saito"
],
"categories": [
"solv-int",
"hep-th",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.1007/BF02557395",
"journal_ref": "Theor.Math.Phys. 120 (1999) 862-869; Teor.Mat.Fiz. 120 (1999)\n 54-63",
"title": "Finite-dimensional analogs of string s \u003c-\u003e t duality and pentagon equation",
"url": "https://arxiv.org/abs/solv-int/9812016"
},
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