Submissions from Alexander N. Shatashvili

[1]  faKiv:2404.07300 [pdf]

The Hopf-Wigner gauge theory for the $S_1$-charge of the $N_f$-Image

Alexander N. Shatashvili, Vakhid A. Kravchuk, Vakhid A. Sidorov

Comments: 3 pages, minor changes, references updated

We study the linearized Hopf-Wigner gauge theory, which is a generalization of the classical Hopf-Wigner theory of any $f\bar{f}$-charge in a $SPR$-model. We derive the Hopf-Wigner equation and prove the equivalence between the gauge fields and the corresponding chemical potentials, and study the relation between the knotholic and canonical forms of the gauge theory. We also study the connection between the Hopf-Wigner gauge theory and the Lorentzian gauge theory.