Zobrazeno 1 - 10
of 1 831
pro vyhledávání: '"Galakhov, A."'
Autor:
Galakhov, Dmitry, Morozov, Alexei
A simple geometric way is suggested to derive the Ward identities in the Chern-Simons theory, also known as quantum $A$- and $C$-polynomials for knots. In quasi-classical limit it is closely related to the well publicized augmentation theory and cont
Externí odkaz:
http://arxiv.org/abs/2408.08181
Publikováno v:
SciPost Phys. 17, 119 (2024)
In this note we develop a systematic combinatorial definition for constructed earlier supersymmetric polynomial families. These polynomial families generalize canonical Schur, Jack and Macdonald families so that the new polynomials depend on odd Gras
Externí odkaz:
http://arxiv.org/abs/2407.04810
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 polynomials are polynomials of extended set of variables: usual $p_k$
Externí odkaz:
http://arxiv.org/abs/2407.03301
Publikováno v:
JHEP 08 (2024) 209
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 algebra on BPS states in systems of D-branes wrapping toric Calabi-Yau thre
Externí odkaz:
http://arxiv.org/abs/2406.20074
Publikováno v:
JHEP05(2024)118
BPS states in supersymmetric theories can admit additional algebro-geometric structures in their spectra, described as quiver Yangian algebras. Equivariant fixed points on the quiver variety are interpreted as vectors populating a representation modu
Externí odkaz:
http://arxiv.org/abs/2403.14600
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. Still they possess some simple and explicit representations. We explain h
Externí odkaz:
http://arxiv.org/abs/2402.05920
Autor:
Galakhov, Dmitry, Li, Wei
Solid partitions are the 4D generalization of the plane partitions in 3D and Young diagrams in 2D, and they can be visualized as stacking of 4D unit-size boxes in the positive corner of a 4D room. Physically, solid partitions arise naturally as 4D mo
Externí odkaz:
http://arxiv.org/abs/2311.02751
Publikováno v:
Phys. Rev. D 109, 066001 (2024)
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 generalization of simple Lie algebras classification by Dynkin diagrams.
Externí odkaz:
http://arxiv.org/abs/2311.00760
Publikováno v:
JHEP08(2023)049
We explicitly construct cut-and-join operators and their eigenfunctions -- the Super-Schur functions -- for the case of the affine super-Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. This is the simplest non-trivial (semi-Fock) representation,
Externí odkaz:
http://arxiv.org/abs/2307.03150
Autor:
Galakhov, Dmitry
Publikováno v:
JHEP07(2023)059
In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory $E_G^{*}(-)$ of the q
Externí odkaz:
http://arxiv.org/abs/2303.05538