Submissions from Gustavo C. C. Nascimento

[1]  faKiv:2405.08135 [pdf]
Anomaly-free black hole spacetimes in the presence of a cosmic string
Comments: 7 pages, 20 figures, typos corrected

We study the first-order field equations of the two-dimensional nonlocal scale factor for the anomalous dimensions of a black hole spacetime. The black hole will have an energy density of $1/m-2$ and a mass $M_\mu$. We find the corresponding nonlocal fields for the first-order propagation of the black hole systems. These fields are suppressed in the presence of a cosmic string. We also consider the different black hole spacetimes in the presence of a cosmic string. The effects of a cosmic string are discussed in details.

[2]  faKiv:2405.08176 [pdf]
A modified version of the Faddeev-Troia equation for a two-dimensional superconducting quantum network
Comments: 6 pages, 2 figures

We construct a modified version of the Faddeev-Troia equation for a two-dimensional superconducting quantum network. This equation is developed in the context of the extended field theory, namely, the Quantum Information Theory, with a large number of particles and a small number of operators. We show that this modified equation is the only equation in the literature that can be written in terms of the superconducting quantum network.