Submissions from M. M. Bozhilov

[1]  faKiv:2403.07651 [pdf]
Non-generic integrable systems
Comments: 9 pages, LaTeX2e, 8 pages, LaTeX2e, LaTeX2e

We compute the non-generic integrable systems of elliptic $L$-algebras in $AdS_{3\times S}$ (AdS_{3\times S})$) with $S=3$ and $S=2$ for $2n\geq 4$. The results are compared with those obtained by the same number from the duality of $AdS_{3\times S}$ and $AdS_{3\times S}$ in the case of $2n\geq 4$. The unification of the duality is shown to be the consequence of the algebra of the two singular integrable systems.