Submissions from Yuta Kashiwa

[1]  faKiv:2404.08302 [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.