Algebraic formulation of higher gauge theory

Autor:	Zucchini, Roberto
Rok vydání:	2017
Předmět:	High Energy Physics - Theory Mathematical Physics 81T13 81T20 81T45
Druh dokumentu:	Working Paper
DOI:	10.1063/1.4985073
Popis:	In this paper, we present a purely algebraic formulation of higher gauge theory and gauged sigma models based on the abstract theory of graded commutative algebras and their morphisms. The formulation incorporates naturally BRST symmetry and is also suitable for AKSZ type constructions. It is also shown that for a full--fledged BV formulation including ghost degrees of freedom, higher gauge and gauged sigma model fields must be viewed as internal smooth functions on the shifted tangent bundle of a space time manifold valued in a shifted L_infty-algebroid encoding symmetry. The relationship to other formulations where the L_infty-algebroid arises from a higher Lie groupoid by Lie differentiation is highlighted. Comment: 92 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.01545 Zobrazit plný text záznamu View this record from Arxiv