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 …

A bstract We study half-BPS line operators in 3d\(\mathcal {N}\)= 4 gauge theories, focusing
in particular on the algebras of local operators at their junctions. It is known that there are …

Quantum field theory L_1 L 1 on spacetime X_ 1 X 1 can be coupled to another quantum
field theory L_2 L 2 on a spacetime X_ 2 X 2 via the third quantum field theory L_ 12 L 12 …

The supersymmetric cigar (half-) index or cigar partition function of 3d $\mathcal {N}= 2$
gauge theories contains a wealth of information. Physically, it captures the spectrum of BPS …

A bstract We revisit the 3d GLSM computation of the equivariant quantum K-theory ring of
the complex Grassmannian from the perspective of line defects. The 3d GLSM onto X= Gr (N …

This paper is concerned with a non-compact GIT quotient of a vector space, in the presence
of an abelian group action and an equivariant regular function (potential) on the quotient …

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from
Wilson lines and surface operators. We show that this theory describes a quasi-topological …

Let $ X $ be a holomorphic symplectic variety with a torus $\mathsf {T} $ action and a finite
fixed point set of cardinality $ k $. We assume that elliptic stable envelope exists for $ X …

In this paper we discuss physical derivations of the quantum K theory rings of symplectic
Grassmannians. We compare to standard presentations in terms of Schubert cycles, but …

A bstract We introduce a formalism for describing holomorphic blocks of 3d quiver gauge
theories using networks of Ding-Iohara-Miki algebra intertwiners. Our approach is very direct …