Twisted Weil Algebras for the String Lie 2-Algebra LMS/EPSRC Durham Symposium on Higher Structures in M-Theory

摘要

In this article, we give a concise summary of L_∞-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 [1] to construct a non-abelian self-dual string soliton, see also [2-4].