Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 54-63
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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.
@article{TMF_1999_120_1_a3,
author = {I. G. Korepanov and S. Saito},
title = {Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {54--63},
publisher = {mathdoc},
volume = {120},
number = {1},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a3/}
}
TY - JOUR AU - I. G. Korepanov AU - S. Saito TI - Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1999 SP - 54 EP - 63 VL - 120 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a3/ LA - ru ID - TMF_1999_120_1_a3 ER -
%0 Journal Article %A I. G. Korepanov %A S. Saito %T Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation %J Teoretičeskaâ i matematičeskaâ fizika %D 1999 %P 54-63 %V 120 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a3/ %G ru %F TMF_1999_120_1_a3
I. G. Korepanov; S. Saito. Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 54-63. http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a3/