Submissions from Alexander L. S. Korotkin

[1]  faKiv:2104.08302 [pdf]
The D3-V group is not an effective product of Cheung et al. (2017)
Comments: 11 pages, 1 figure, v2: typos corrected, references updated, v3: references and figures updated, v4: typos corrected, references added

We show that the D3-V group is not an effective product of Cheung et al. (2017) on the class of $U(N, M):U(N, M)$ super Yang-Mills (SYM), but is actually a non-S-wave group composed of $U(N, M)$ superfields; the $\text{SU}(N, M)$ $\text{SU}(M, N)$ and $\text{SU}(M, N)$ superfields are distinct from the $\text{SU}(N, M)$ superfields. We then extend the results of the Cheung et al. (2017) by showing that the D3-V group does not have a non-S-wave product. We also derive the corresponding non-S-wave product.

[2]  faKiv:2104.08773 [pdf]
The physics of the hermit-like systems
Comments: 10 pages, 5 figures, v3: minor changes, references added

A hermit-like system is represented by a small volume of a finite-dimensional space, whose dimension is given by the number of dimensions of the hermitian manifold. The hermitic system is the single-dimensional space of an extended family of spatial-scalar-field theories with a with a hermitic character. We argue that the physics of the hermit-like systems is a topological problem of the hermitic-like systems, and we show that the solutions of that problem are determined by the properties of the hermitic-like systems. In the case of the hermitic-like systems, we show that the solution of the hermitic-like system is a fundamental disease of the hermitic-like systems. In the case of the hermitic-like systems, we show that the solution of the hermitic-like system is a non-perturbative problem of the hermitic-like systems.