Twisted Weil Algebras for the String Lie 2-Algebra
High Energy Physics - Theory
2019-10-23 v1
Abstract
In this article, we give a concise summary of -algebras viewed in terms of Chevalley-Eilenberg algebras, Weil algebras and invariant polynomials and their use in defining connections in higher gauge theory. Using this, we discuss the example of the string Lie 2-algebra in both the skeletal and the loop model. In both cases, we show how to arrive at the twisted Weil algebras which were used in arXiv:1705.02353 to construct a non-Abelian self-dual string soliton, see also arXiv:1712.06623, arXiv:0801.3480, arXiv:0910.4001.
Cite
@article{arxiv.1903.02873,
title = {Twisted Weil Algebras for the String Lie 2-Algebra},
author = {Lennart Schmidt},
journal= {arXiv preprint arXiv:1903.02873},
year = {2019}
}
Comments
11 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018