On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories

DOI

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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Vladimir S. Gerdjikov
AU  - Georgi G. Grahovski
PY  - 2005
DA  - 2005/12/01
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  - 10.2991/jnmp.2005.12.s2.11
ID  - Gerdjikov2005
ER  -