We list K-matrices for the general linear and orthosymplectic quantum supergroups with the simplest "symmetric" triangular decomposition. This classification is based on a theory of super-spherical coideal subalgebas in quantum supergroups associated with Z_2-graded Satake diagrams. This theory extends quantum symmetric pairs of Letzter-Kolb to the realm of quantum supergroups.
For affine special superalgebra $\mathfrak{\hat{g}}(\Pi)$ defined by an arbitrary systems of simple roots $\Pi$ we define the affine super Yangian $Y_{\hbar}(\hat{g}(\Pi))$ as Hopf superalgebra which is a quantization of superbialgebra $\hat{g}(\Pi)[t]$ and describe super Yangian in terms of minimalistic system of generators. We consider Drinfeld presentation for $Y^D_{\hbar}(\hat{g}(\Pi))$...
In this talk, construction of the superfield action of the $N = (1, 0)$, $d = 6$ non-Abelian tensor multiplet based on the non-Abelian tensor hierarchies is discussed. The supersymmetric systems of tensors with non-Abelian gauge symmetries are considered to be necessary tools for low-energy effective description of multiple M5-branes, as well as superconformal theories in six dimensions. The...
We demonstrate that the limit density of eigenvalues of random matrices from Jacobi Unitary Ensemble (JUE) coincides with the transition probability for the limit shape of random Young diagrams with respect to the measure obtained from skew Howe duality. We discuss conjectural connection of asymptotics of correlation functions in these random ensembles.
We study non-topological bright solitons in two-dimensional conformal field theory. Our analysis shows that these solitons exhibit only zero modes, with no vibrational or decay excitations. This behavior is explained by examining a relativistic extension of the model, where conformal symmetry is weakly violated and decay modes appear. Thus, the restoration of conformal symmetry ensures the...
The importance of the realativistic corrections will be demonstrated for solitons in (2+1)-dimensional scalar theory with the conformal symmetry restoration in the non-relativistic limit. The conformal symmetry restoration affects the properties of solitons, such as their integral characteristics and stability.
