Submissions from M. A. Shatashvili

[1]  faKiv:2404.08261 [pdf]
A simple family of two-parameter family of BMSF$_3$-models
Comments: 17 pages, 2 figures, version accepted for publication in EPJC

We study two-parameter family of BMSF$_3$-models in the presence of the renormalization group flow. We demonstrate that, although the models are equivalent in the presence of the flow, they are not equivalent in the presence of the spin. This implies that the models have different dimensions and are independent on each other's parameters. We calculate their entropy.

[2]  faKiv:2404.08740 [pdf]
Noncommutativity in bracketed $\mathcal{N} = 4$ S-wave theories and their algebraic decomposition
Comments: 24 pages, 6 figures

We study the noncommutativity of the $\mathcal{N} = 4$ S-wave theory in bracketed $\mathcal{N} = 4$ S-wave models by studying the algebraic decomposition of the noncommutative field equations in KK-deformed supersymmetric $\mathcal{N} = 4$ models. We find that the noncommutativity of the S-wave theory is an algebraic decomposition of the $\mathcal{N} = 4$ S-wave algebra.