Journal of Nonlinear Mathematical Physics

Volume 12, Issue Supplement 2, December 2005, Pages 155 - 168

On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories

Authors
Vladimir S GERDJIKOV, Georgi G GRAHOVSKI
Corresponding Author
Vladimir S GERDJIKOV
Available Online 1 December 2005.
DOI
https://doi.org/10.2991/jnmp.2005.12.s2.11How to use a DOI?
Abstract
A family of real Hamiltonian forms (RHF) for the special class of affine 1 + dimensional Toda field theories is constructed. Thus the method, proposed in [1] for systems with finite number of degrees of freedom is generalized to infinite-dimensional Hamiltonian systems. We show that each of these RHF is related to a special Zsymmetry of the system of roots for the relevant Kac-Moody algebra. A number of explicit nontrivial examples of RHF of ATFT are presented.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 100
Pages
155 - 168
Publication Date
2005/12
ISBN
91-974824-5-5
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2005.12.s2.11How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Vladimir S GERDJIKOV
AU  - Georgi G GRAHOVSKI
PY  - 2005
DA  - 2005/12
TI  - On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories
JO  - Journal of Nonlinear Mathematical Physics
SP  - 155
EP  - 168
VL  - 12
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s2.11
DO  - https://doi.org/10.2991/jnmp.2005.12.s2.11
ID  - GERDJIKOV2005
ER  -