Aspects of Non-associative Gauge Theory

Authors

Sergey Grigorian, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

10-31-2023

Abstract

A smooth loop is the direct non-associative generalization of Lie group. In this paper, we review the theory of smooth loops and smooth loop bundles. This is then used to define a non-associative analog of the Chern-Simons functional.

Comments

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

Recommended Citation

Grigorian, S. (2023). Aspects of Non-associative Gauge Theory. In: Kähler, U., Reissig, M., Sabadini, I., Vindas, J. (eds) Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-36375-7_39

Publication Title

Trends in Mathematics

DOI

10.1007/978-3-031-36375-7_39