Lie 2-algebra models
High Energy Physics - Theory
2014-04-17 v2 Mathematical Physics
math.MP
Abstract
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases. They feature solutions that can be interpreted as quantized 2-plectic manifolds. In particular, we find solutions corresponding to quantizations of R^3, S^3 and a five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie 2-algebra models around the solution corresponding to quantized R^3, we obtain higher BF-theory on this quantized space.
Cite
@article{arxiv.1308.4892,
title = {Lie 2-algebra models},
author = {Patricia Ritter and Christian Saemann},
journal= {arXiv preprint arXiv:1308.4892},
year = {2014}
}
Comments
47 pages, presentation improved, version published in JHEP