Geodesic
Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 295-303 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

This paper deals with the dispersionless KP hierarchy from the point of view of quasiclassical limit. Its Lax formalism, W-infinity symmetries, and general solutions are shown to be reproduced from their counterparts in the KP hierarchy in the limit of $\hbar\to0$. Free fermions and bosonized vertex operators play a key role in the description of W-infinity symmetries and general solutions, which is technically very similar to a recent free fermion formalism of $c=1$ matrix models. Bibl. 25 titles. 
@article{ZNSL_1996_235_a16,
     author = {Kanehisa Takasaki and Takashi Takebe},
     title = {Quasi-classical limit of {KP} hierarchy, $W$-symmetries and free fermions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {295--303},
     year = {1996},
     volume = {235},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a16/}
}
TY  - JOUR
AU  - Kanehisa Takasaki
AU  - Takashi Takebe
TI  - Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1996
SP  - 295
EP  - 303
VL  - 235
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a16/
LA  - en
ID  - ZNSL_1996_235_a16
ER  - 
%0 Journal Article
%A Kanehisa Takasaki
%A Takashi Takebe
%T Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 295-303
%V 235
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a16/
%G en
%F ZNSL_1996_235_a16
Kanehisa Takasaki; Takashi Takebe. Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 295-303. http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a16/