10 citations · 44 across the 15 of their papers we have counts for
15 papers
Two roles of Alexander in two Kashaev phases
Dmitry Galakhov, Alexei Morozov
The crucial feature of resurgence theory is the ambiguity of non-perturbative behavior, reflected either in the different choices of integration contours or in the existence of sev…
Shading A-polynomials via huge representations of
Dmitry Galakhov, Alexei Morozov
Classical A-polynomials define constraints on coordinates and in (a complexification of ) character varieties associated to knot co…
On the geometric algebras of the Ising model
N. Johnson, D. Marenduzzo, A. Morozov +2
We revisit the classical transfer matrix solution of the one- and two-dimensional Ising model from the perspective of Clifford and conformal geometric algebras. Building on Kaufman…
Weyl Mutations in Quiver Yangians
Dmitry Galakhov, Alexei Gavshin, Alexei Morozov
The problem of solving non-linear equations would be considerably simplified by a possibility to convert known solutions into the new ones. This could seem an element of art, but i…
Operator lift of Reshetikhin-Turaev formalism to Khovanov-Rozansky TQFTs
Dmitry Galakhov, Elena Lanina, Alexei Morozov
Topological quantum field theory (TQFT) is a powerful tool to describe homologies, which normally involve complexes and a variety of maps/morphisms, what makes a functional integra…
On geometric bases for A-polynomials II: and Kuberberg bracket
Dmitry Galakhov, Alexei Morozov
We continue the study of quantum A-polynomials -- equations for knot polynomials with respect to their coloring (representation-dependence) -- as the relations between different li…
Tunnels Under Geometries (or Instantons Know Their Algebras)
Dmitry Galakhov, Alexei Morozov
In the tight binding model with multiple degenerate vacua we might treat wave function overlaps as instanton tunnelings between different wells (vacua). An amplitude for such a tun…
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 introd…
On geometric bases for quantum A-polynomials of knots
Dmitry Galakhov, Alexei Morozov
A simple geometric way is suggested to derive the Ward identities in the Chern-Simons theory, also known as quantum - and -polynomials for knots. In quasi-classical limit it…
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…
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…
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…
Simple Representations of BPS Algebras: the case of
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
BPS algebras are the symmetries of a wide class of brane-inspired models. They are closely related to Yangians -- the peculiar and somewhat sophisticated limit of DIM algebras. Sti…
Towards the theory of Yangians
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
We review the main ideas underlying the emerging theory of Yangians -- the new type of hidden symmetry in string-inspired models. Their classification by quivers is a far-going gen…