140 citations · 316 across the 30 of their papers we have counts for
30 papers
Chiralization of Quiver Varieties
Ioana Coman, Myungbo Shim, Masahito Yamazaki +1
Given a quiver Q with gauge dimension and framing dimension , one can define the extended quiver variety , which is a sm…
Symmetric quiver varieties and critical stable envelopes
Yalong Cao, Andrei Okounkov, Yehao Zhou +1
Symmetric quiver varieties with potentials are natural generalizations of Nakajima quiver varieties, and their equivariant critical cohomologies provide more flexible settings for…
Shifted quantum groups via critical stable envelopes
Yalong Cao, Andrei Okounkov, Yehao Zhou +1
Given a symmetric quiver with potential, we develop a geometric construction of shifted Yangians acting on the critical cohomologies of antidominantly framed quiver varieties with…
Stable envelopes for critical loci
Yalong Cao, Andrei Okounkov, Yehao Zhou +1
This is the first in a sequence of papers devoted to stable envelopes in critical cohomology and critical -theory for symmetric GIT quotients with potentials and related geometr…
Hyperbolic Monopoles, (Semi-)Holomorphic Chern-Simons Theories, and Generalized Chiral Potts Models
Seyed Faroogh Moosavian, Masahito Yamazaki, Yehao Zhou
We study the relation between spectral data of magnetic monopoles in hyperbolic space and the curve of the spectral parameter of generalized chiral Potts models (gCPM) through the…
5d-4d Correspondence in Twisted M-theory on a Conifold
Meer Ashwinkumar, Mir Faizal, Arshid Shabir +2
We study twisted M-theory in a general conifold background, and describe it in terms of a 5d non-commutative Chern-Simons-matter theory, which is equivalent to 5d non-commutative C…
On the Hilbert Space of the Chern-Simons Matrix Model, Deformed Double Current Algebra Action, and the Conformal Limit
Sen Hu, Si Li, Dongheng Ye +1
A Chern-Simons matrix model was proposed by Dorey, Tong, and Turner to describe non-Abelian fractional quantum Hall effect. In this paper we study the Hilbert space of the Chern-Si…
R-matrices and Miura operators in 5d Chern-Simons theory
Nafiz Ishtiaque, Saebyeok Jeong, Yehao Zhou
We derive Miura operators for - and -algebras from first principles as the expectation value of the intersection between a topological line defect and a holomorphic surface d…
Affine -algebras and Miura maps from 3d non-Abelian quiver gauge theories
Ioana Coman, Myungbo Shim, Masahito Yamazaki +1
We study Vertex Operator Algebras (VOAs) obtained from the H-twist of 3d linear quiver gauge theories. We find that H-twisted VOAs can be regarded as the ''chiraliz…
Deformed Double Current Algebras, Matrix Extended Algebras, Coproducts, and Intertwiners from the M2-M5 Intersection
Davide Gaiotto, Miroslav Rapčák, Yehao Zhou
We study the algebraic structures which govern the deformation of supersymmetric intersections of M2 and M5 branes. The universal algebras on M2 and M5 branes are deformed double c…
Quantum Algebra of Chern-Simons Matrix Model and Large Limit
Sen Hu, Si Li, Dongheng Ye +1
In this paper we study the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in frac…
Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical -Matrices for Superspin Chains from the Bethe/Gauge Correspondence
Nafiz Ishtiaque, Seyed Faroogh Moosavian, Yehao Zhou
We generalize Aganagic-Okounkov's theory of elliptic stable envelopes, and its physical realization in Dedushenko-Nekrasov's and Bullimore-Zhang's works, to certain varieties witho…
Decomposition of superconformal minimal models and their fractional quantum Hall wavefunctions
Yichen Hu, Sirui Ning, Yehao Zhou
superconformal minimal models are the first series of unitary conformal field theories (CFTs) extending beyond Virasoro algebra. Using coset constructions, we chara…
Line Operators in 4d Chern-Simons Theory and Cherkis Bows
Nafiz Ishtiaque, Yehao Zhou
We show that the phase spaces of a large family of line operators in 4d Chern-Simons theory with gauge group are given by Cherkis bow varieties with crosses. Thes…
Evidence for an algebra of instantons II
Jihwan Oh, Yehao Zhou
Building on our previous work [2109.01110], we will compute a new kind of instanton partition function. By doing so, we complete a set of building blocks of the instanton par…
On the Reducedness of Quiver Schemes
Yehao Zhou
In this paper we prove that a quiver scheme in characteristic zero is reduced if the moment map is flat. We use the reducedness result to show that the equivariant integration form…
2d BF Theory Coupled to 1d Quantum Mechanics: The Phase Space and Its Quantization
Seyed Faroogh Moosavian, Yehao Zhou
We study the ring of functions on the (classical and quantized) phase space of 2-dimensional BF theory with the gauge group coupled to a 1-dimensional quantum mecha…
Evidence for an Algebra of Instantons
Michele Del Zotto, Jihwan Oh, Yehao Zhou
In this short note, we present some evidence towards the existence of an algebra of BPS instantons. These are instantonic configurations that govern the partition functions o…
A domain wall in twisted M-theory
Jihwan Oh, Yehao Zhou
We study a four-dimensional domain wall in twisted M-theory. The domain wall is engineered by intersecting D6 branes in the type IIA frame. We identify the classical algebra of ope…
Twisted holography of defect fusions
Jihwan Oh, Yehao Zhou
In the twisted M-theory setting, various types of fusion of M2 and M5 branes induce coproducts between the algebra of operators on M2 branes and the algebra of operators on M5 bran…
Note on some properties of generalized affine Grassmannian slices
Yehao Zhou
Braverman, Finkelberg and Nakajima introduced the generalized affine Grassmannian slices and showed that they are Coulomb branches of $\mathcal N=4…
Feynman diagrams and -deformed M-theory
Jihwan Oh, Yehao Zhou
We derive the simplest commutation relations of operator algebras associated to M2 branes and an M5 brane in the -deformed M-theory, which is a natural set-up for Twisted hologr…
On the Existence of Heterotic-String and Type-II-Superstring Field Theory Vertices
Seyed Faroogh Moosavian, Yehao Zhou
We consider two problems associated to the space of Riemann surfaces that are closely related to string theory. We first consider the problem of existence of heterotic-string and t…
Note on global symmetry and SYK model
Junyu Liu, Yehao Zhou
The goal of this note is to explore the behavior of effective action in the SYK model with general continuous global symmetries. A global symmetry will decompose the whole Hamilton…