Twisted Weil Algebras for the String Lie 2-Algebra

Abstract

In this article, we give a concise summary of $L_{\infty }$-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.

arXiv comment11 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018

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Cited by in corpus (1)

• Adjusted Parallel Transport for Higher Gauge Theories