On the geometry of classically integrable two-dimensional non-linear sigma models
High Energy Physics - Theory
2014-11-18 v2
Abstract
A master equation expressing the classical integrability of two-dimensional non-linear sigma models is found. The geometrical properties of this equation are outlined. In particular, a closer connection between integrability and T-duality transformations is emphasised. Finally, a whole new class of integrable non-linear sigma models is found and all their corresponding Lax pairs depend on a spectral parameter.
Cite
@article{arxiv.0806.0550,
title = {On the geometry of classically integrable two-dimensional non-linear sigma models},
author = {N. Mohammedi},
journal= {arXiv preprint arXiv:0806.0550},
year = {2014}
}
Comments
16 pages. Major changes (almost a new paper). To be published in Nuclear Physics B (2010)