Geometrical aspects of hypermagnetic field interactions

Federal Research Center, Institute of Applied Mathematics M.V. Keldysh, Institute of the Russian Academy of Sciences - Miusskaya sq. 4, 125047, Moscow, Russian Federation and Universidad de Buenos Aires, Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), National Institute of Plasma Physics (INFIP), Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria Buenos Aires 1428, Argentina

^(a) diego777jcl@gmail.com (corresponding author)

Received: 29 October 2021
Accepted: 6 January 2022

Abstract

We investigate the role of a dynamical torsion field coming from a geometrical non-Riemannian model. This model is reminiscent of a generalized Born-Infeld theory and the torsion plays a fundamental role trough its Hodge dual: the pseudovector This contains axion, Kalb-Ramond 2-form and physical observables of macroscopic character. An emergent interaction Lagrangian arises from the model and it is compared with a superstring inspired one taken from Bamba Kazuharu et al., Phys. Lett. B, 664 (2008) 154 pulling out several important consequences in favor of our proposal, as the possibility of establishing a clear connection between the change of the CMB polarization plane and the anomalous current .