51 citations · 187 across the 7 of their papers we have counts for
7 papers
Charging solid partitions
Dmitry Galakhov, Wei Li
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 corn…
BPS States Meet Generalized Cohomology
Dmitry Galakhov
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…
Gauge/Bethe correspondence from quiver BPS algebras
Dmitry Galakhov, Wei Li, Masahito Yamazaki
We study the Gauge/Bethe correspondence for two-dimensional supersymmetric quiver gauge theories associated with toric Calabi-Yau three-folds, whose BPS algebra…
Toroidal and Elliptic Quiver BPS Algebras and Beyond
Dmitry Galakhov, Wei Li, Masahito Yamazaki
The quiver Yangian, an infinite-dimensional algebra introduced recently in arXiv:2003.08909, is the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds.…
Shifted Quiver Yangians and Representations from BPS Crystals
Dmitry Galakhov, Wei Li, Masahito Yamazaki
We introduce a class of new algebras, the shifted quiver Yangians, as the BPS algebras for type IIA string theory on general toric Calabi-Yau three-folds. We construct representati…
On Supersymmetric Interface Defects, Brane Parallel Transport, Order-Disorder Transition and Homological Mirror Symmetry
Dmitry Galakhov
We concentrate on a treatment of a Higgs-Coulomb duality as an absence of manifest phase transition between ordered and disordered phases of 2d theories. We con…
Quiver Yangian and Supersymmetric Quantum Mechanics
Dmitry Galakhov, Masahito Yamazaki
The statistical model of crystal melting represents BPS configurations of D-branes on a toric Calabi-Yau three-fold. Recently it has been noticed that an infinite-dimensional algeb…