Submissions from J. A. Savin

[1]  faKiv:2404.07579 [pdf]

Probing the bound on the energy scale of black holes and supersymmetric QFTs

F. J. Gebhardt, M. A. V. Savin, J. A. Savin

Comments: 19 pages, no figures, v2: minor changes, references to published version

In this paper, we investigate the energy scale of black holes and supersymmetric QFTs in the presence of a bound on the energy scale. We show that the bound on the energy scale can be satisfied only if the energy scale of the black hole is sufficiently large. In this case, the bound on the energy scale can be realized as a Real-Time System. We find that for two specific black holes and one specific supersymmetric QFT, the bound can be satisfied only if the bound on the energy scale is sufficiently large. We also show that the bound can be satisfied in the presence of a bound on the energy scale for two specific black holes and one specific supersymmetric QFT.

[2]  faKiv:2404.07582 [pdf]

Quasi-local geometry in a dimensional reduction on the Hilbert elliptic curve

A. G. Karagoda, J. A. Savin, B. Pravda, S. Zaytounkov

Comments: 11 pages, no figure

We study the Hilbert elliptic curve for a class of simple real-valued functions of a dimension two field theory on the Hilbert elliptic curve. We show that the Hilbert elliptic curve itself is non-perturbative and, in particular, that the curved Hilbert elliptic curve is a non-perturbative function of the dimension two field theory. In this case, it is shown that the solution of the Hilbert elliptic curve is a solution of the Einstein equations.