Algebraic formulation of higher gauge theory

作者：Zucchini Roberto

来源：Journal of Mathematical Physics, 2017, 58(6): 062301.

DOI：10.1063/1.4985073

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 Becchi - Rouet - Stora Tyutin ( BRST) symmetry and is also suitable for Alexandrov - Kontsevich - Schwartz-Zaboronsky (AKSZ) type constructions. It is also shown that for a full-fledged Batalin-Vilkovisky 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-infinity-algebroid encoding symmetry. The relationship to other formulations where the L-infinity-algebroid arises from a higher Lie groupoid by Lie differentiation is highlighted. Published by AIP Publishing.

• 出版日期2017-6