5 papers
Super-Hamiltonians for super-Macdonald polynomials
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
The Macdonald finite-difference Hamiltonian is lifted to a super-generalization. In addition to canonical bosonic time variables new Grassmann time variables are intro…
Supersymmetric polynomials and algebro-combinatorial duality
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
In this note we develop a systematic combinatorial definition for constructed earlier supersymmetric polynomial families. These polynomial families generalize canonical Schur, Jack…
Macdonald polynomials for super-partitions
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
We introduce generalization of famous Macdonald polynomials for the case of super-Young diagrams that contain half-boxes on the equal footing with full boxes. These super-Macdonald…
Algorithms for representations of quiver Yangian algebras
Dmitry Galakhov, Alexei Gavshin, Alexei Morozov +1
In this note, we aim to review algorithms for constructing crystal representations of quiver Yangians in detail. Quiver Yangians are believed to describe an action of the BPS algeb…
Wall-Crossing Effects on Quiver BPS Algebras
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
BPS states in supersymmetric theories can admit additional algebro-geometric structures in their spectra, described as quiver Yangian algebras. Equivariant fixed points on the quiv…