Submissions from Vakhid A. Kravchuk

[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.

[2]  faKiv:2404.07343 [pdf]

On the non-Gaussianity of the Schwarzschild-AdS black hole in the presence of a cosmological constant

Viktor K. Oblomkov, Valentin A. Oblomov, Vakhid A. Kravchuk

Comments: 26 pages, 5 figures

We consider the Schwarzschild-AdS black hole in the presence of a cosmological constant. We show that the Schwarzschild-AdS black hole with spherical symmetry exhibits non-Gaussianity in the phase space in the black hole horizon region. In order to obtain the Schwarzschild-AdS black hole with Gaussianity in the horizon region, we use the extended Schwarzschild-AdS black hole model with spherical symmetry. We also show that the non-Gaussianity of the Schwarzschild-AdS black hole in the horizon region is identical to the non-Gaussianity of the black hole horizon.