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Connection between the Affine and conformal Affine Toda models and their Hirota`s solution

Technical Report:

Abstract

It is shown that the Affine Toda models (AT) constitute a gauge fixed version of the Conformal Affine Toda model (CAT). This result enables one to map every solution of the AT models into an infinite number of solutions of the corresponding CAT models, each one associated to a point of the orbit of the conformal group. The Hirota`s {tau}-function are introduced and soliton solutions for the AT and CAT models associated to SL (r+1) and SP (r) are constructed. (author).
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
IFT-P-026/92
Reference Number:
SCA: 662120; PA: AIX-24:003429; SN: 93000913770
Resource Relation:
Other Information: PBD: 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL GROUPS; ALGEBRA; CHIRALITY; LATTICE FIELD THEORY; SOLITONS; SYMMETRY; TENSORS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10109058
Research Organizations:
Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
Country of Origin:
Brazil
Language:
English
Other Identifying Numbers:
Other: ON: DE93609918; TRN: BR9230421003429
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[9] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Constantinidis, C P, Ferreira, L A, Gomes, J F, and Zimerman, A H. Connection between the Affine and conformal Affine Toda models and their Hirota`s solution. Brazil: N. p., 1992. Web.
Constantinidis, C P, Ferreira, L A, Gomes, J F, & Zimerman, A H. Connection between the Affine and conformal Affine Toda models and their Hirota`s solution. Brazil.
Constantinidis, C P, Ferreira, L A, Gomes, J F, and Zimerman, A H. 1992. "Connection between the Affine and conformal Affine Toda models and their Hirota`s solution." Brazil.
@misc{etde_10109058,
title = {Connection between the Affine and conformal Affine Toda models and their Hirota`s solution}
author = {Constantinidis, C P, Ferreira, L A, Gomes, J F, and Zimerman, A H}
abstractNote = {It is shown that the Affine Toda models (AT) constitute a gauge fixed version of the Conformal Affine Toda model (CAT). This result enables one to map every solution of the AT models into an infinite number of solutions of the corresponding CAT models, each one associated to a point of the orbit of the conformal group. The Hirota`s {tau}-function are introduced and soliton solutions for the AT and CAT models associated to SL (r+1) and SP (r) are constructed. (author).}
place = {Brazil}
year = {1992}
month = {Dec}
}