Quantum groups and quantum cohomology
D Maulik, A Okounkov - arxiv preprint arxiv:1211.1287, 2012 - arxiv.org
In this paper, we study the classical and quantum equivariant cohomology of Nakajima
quiver varieties for a general quiver Q. Using a geometric R-matrix formalism, we construct a …
quiver varieties for a general quiver Q. Using a geometric R-matrix formalism, we construct a …
M-strings
M2 branes suspended between adjacent parallel M5 branes lead to light strings, the 'M-
strings'. In this paper we compute the elliptic genus of M-strings, twisted by maximally …
strings'. In this paper we compute the elliptic genus of M-strings, twisted by maximally …
Quantum geometry and quiver gauge theories
We study macroscopically two dimensional N=(2, 2) N=(2, 2) supersymmetric gauge
theories constructed by compactifying the quiver gauge theories with eight supercharges on …
theories constructed by compactifying the quiver gauge theories with eight supercharges on …
Quantum difference equation for Nakajima varieties
For an arbitrary Nakajima quiver variety X, we construct an analog of the quantum dynamical
Weyl group acting in its equivariant K-theory. The correct generalization of the Weyl group …
Weyl group acting in its equivariant K-theory. The correct generalization of the Weyl group …
Quiver Yangian and supersymmetric quantum mechanics
D Galakhov, M Yamazaki - Communications in Mathematical Physics, 2022 - Springer
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 algebra, the …
Calabi–Yau three-fold. Recently it has been noticed that an infinite-dimensional algebra, the …
Toroidal and elliptic quiver BPS algebras and beyond
A bstract The quiver Yangian, an infinite-dimensional algebra introduced recently in [1], is
the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds. We …
the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds. We …
Explicit examples of DIM constraints for network matrix models
A bstract Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov
functions for SYM theories in different dimensions, are all incorporated into network matrix …
functions for SYM theories in different dimensions, are all incorporated into network matrix …
-algebra modules, free fields, and Gukov-Witten defects
T Procházka, M Rapčák - Journal of High Energy Physics, 2019 - Springer
A bstract We study the structure of modules of corner vertex operator algebras arrising at
junctions of interfaces in\(\mathcal {N}= 4\) SYM. In most of the paper, we concentrate on …
junctions of interfaces in\(\mathcal {N}= 4\) SYM. In most of the paper, we concentrate on …
Liouville reflection operator, affine Yangian and Bethe ansatz
A bstract In these notes we study integrable structure of conformal field theory by means of
Liouville reflection operator/Maulik Okounkov R-matrix. We discuss relation between RLL …
Liouville reflection operator/Maulik Okounkov R-matrix. We discuss relation between RLL …
(p, q)-webs of DIM representations, 5d instanton partition functions and qq-characters
A bstract Instanton partition functions of\(\mathcal {N}= 1\) 5d Super Yang-Mills reduced on S
1 can be engineered in type IIB string theory from the (p, q)-branes web diagram. To this …
1 can be engineered in type IIB string theory from the (p, q)-branes web diagram. To this …