The Multi-field Complex Bateman Equation
High Energy Physics - Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
The multi-field generalisation of the Bateman equation arises from considerations of the continuation of String and Brane equations to the case where the base space is of higher dimension than the target space. The complex extension of this equation possesses a remarkably large invariance group, and admits a very simple implicit form for its general solution, in addition to the special case of holomorphic and anti-holomorphic explicit solutions. A class of inequivalent Lagrangians for this equation is discovered.
Cite
@article{arxiv.hep-th/0106003,
title = {The Multi-field Complex Bateman Equation},
author = {D. B. Fairlie},
journal= {arXiv preprint arXiv:hep-th/0106003},
year = {2007}
}
Comments
10 pages, LaTeX2e