Abstract
We constructed a center less W-infinity type of algebra in terms of a generator of a center less Virasoro algebra and an Abelian spin-1 current. This algebra conventionally emerges in the study of pseudo-differential operators on a circle or alternatively within KP hierarchy with Watanabe`s bracket. Construction used here is based on a special deformation of the algebra w{sub {infinity}} of area preserving diffeomorphisms of a 2-manifold. We show that this deformation technique applies to the two-loop WZNW and conformal affine Toda models, establishing henceforth W {infinity} invariance of these models. (author).
Aratyn, H;
[1]
Ferreira, L A;
Gomes, J F;
Zimerman, A H
- Illinois Univ., Chicago, IL (United States). Dept. of Physics
Citation Formats
Aratyn, H, Ferreira, L A, Gomes, J F, and Zimerman, A H.
A new deformation of W-infinity and applications to the two-loop WZNW and conformal affine Toda models.
Brazil: N. p.,
1992.
Web.
Aratyn, H, Ferreira, L A, Gomes, J F, & Zimerman, A H.
A new deformation of W-infinity and applications to the two-loop WZNW and conformal affine Toda models.
Brazil.
Aratyn, H, Ferreira, L A, Gomes, J F, and Zimerman, A H.
1992.
"A new deformation of W-infinity and applications to the two-loop WZNW and conformal affine Toda models."
Brazil.
@misc{etde_10109051,
title = {A new deformation of W-infinity and applications to the two-loop WZNW and conformal affine Toda models}
author = {Aratyn, H, Ferreira, L A, Gomes, J F, and Zimerman, A H}
abstractNote = {We constructed a center less W-infinity type of algebra in terms of a generator of a center less Virasoro algebra and an Abelian spin-1 current. This algebra conventionally emerges in the study of pseudo-differential operators on a circle or alternatively within KP hierarchy with Watanabe`s bracket. Construction used here is based on a special deformation of the algebra w{sub {infinity}} of area preserving diffeomorphisms of a 2-manifold. We show that this deformation technique applies to the two-loop WZNW and conformal affine Toda models, establishing henceforth W {infinity} invariance of these models. (author).}
place = {Brazil}
year = {1992}
month = {Jan}
}
title = {A new deformation of W-infinity and applications to the two-loop WZNW and conformal affine Toda models}
author = {Aratyn, H, Ferreira, L A, Gomes, J F, and Zimerman, A H}
abstractNote = {We constructed a center less W-infinity type of algebra in terms of a generator of a center less Virasoro algebra and an Abelian spin-1 current. This algebra conventionally emerges in the study of pseudo-differential operators on a circle or alternatively within KP hierarchy with Watanabe`s bracket. Construction used here is based on a special deformation of the algebra w{sub {infinity}} of area preserving diffeomorphisms of a 2-manifold. We show that this deformation technique applies to the two-loop WZNW and conformal affine Toda models, establishing henceforth W {infinity} invariance of these models. (author).}
place = {Brazil}
year = {1992}
month = {Jan}
}