List of Longer Talks (option 2)
(1) Qiuyue Liang
Title: Emergent 1-form symmetry in spin ice system
Abs: Higher form symmetries are novel global symmetries under which non-local objects, such as Wilson loop, transform. In free Maxwell $U(1)$ theory, there are electric and magnetic 1-form symmetries. Photon is believed to be the Goldstone boson of the spontaneous breaking of these higher form symmetries, denoting the Coulomb phase. We find a UV spin model on lattice to study the emergence of these 1-form symmetries, and examine the phase transition between the Higgs phase and the Coulomb phase.
(2) Jiakang Bao and Hao Zhang (2 slots)
Title: Atomic Higgsings of 6d SCFTs
Abstract: Hao will talk about generalized quivers and tensor branch description, and I will talk about magnetic quivers and Coulomb branch description.
We shall discuss the full Higgs branch Hasse diagrams for any given 6d $\mathcal{N}=(1,0)$ SCFTs constructed via F-theory. This can be done by a procedure of determining all the minimal Higgsings on the generalized quivers of the 6d SCFTs. We call this procedure the atomic Higgsing, which can be implemented iteratively. In the first part, we shall present our general algorithm, which is based on the tensor branch descriptions and the generalized quivers. We will illustrate this with various examples.
In the second part, we shall compare our algorithm with the Higgsings determined by the 3d $\mathcal{N}=4$ magnetic quivers and their Coulomb branches. For the cases where the magnetic quivers are unitary, we can reproduce the full Hasse diagrams. We shall also construct the orthosymplectic magnetic quivers from the Type IIA brane systems for some new examples. We will see that our algorithm applies to the orthosymplectic cases, as well as theories that do not have known descriptions.
(3) Myungbo Shim
Title: Some recent issues on algebras and geometries on 3d SQFTs.
Abstract: 3d field theory is an important theater where various algebraic and geometric structures play interesting roles appreciated by itself as well as their interplay. Recently, bulk-boundary, 3d-3d, and Kazhdan-Lusztig correspondences connect VOAs, 3-manifolds, Braided tensor categories and (small) quantum groups. I'd like to introduce some topics of interest and to share my thoughts on what to do for practical research activities.
(4) Yehao Zhou
Title: Stable envelope for critical (K-)homology of symmetric quivers and application to geometric representation theory
Abstract: Maulik-Okounkov, and later Aganagic-Okounkov, introduced the stable envelopes for equivariant cohomology/K-theory/elliptic cohomology of some smooth symplectic varieties, e.g. Nakajima quiver varieties. It was shown in the aforementioned work that one can use stable envelopes to construct R-matrices and quantum groups which act on equivariant cohomology/K-theory/elliptic cohomology of the variety. Later in a joint work with Ishtiaque and Moosavian, we constructed the stable envelopes for equivariant cohomology/K-theory/elliptic cohomology of certain smooth non-symplectic varieties, which are related to the representations of super quantum groups. In this talk I will introduce a further generalization of the previous constructions, which is the stable envelopes for equivariant critical cohomology and critical K-theory for symmetric quiver varieties (i.e. quiver with symmetric adjacency matrix). In the case of a tripled quiver with standard superpotential, this new construction recovers the Maulik-Okounkov's stable envelope for Nakajima quiver variety associated to the doubled quiver along the dimensional reduction. Depending on the time, I will also talk about some applications to geometric realizations of modules of quantum groups, e.g. Kirillov-Reshetikhin modules of quantum affine algebras, MacMahon module of quantum toroidal algebra of gl(1), universal Verma modules of affine rectangular W-algebra. This talk is based on two joint works in progress: one with Yalong Cao and Zijun Zhou, another one with Ryosuke Kodera.
(5) Masahito Yamazaki
title/abstract: TBA
(6) Yanming Su
I want to have a talk to introduce some basic ideas about article 2406.12978, in which ZX calculus in quantum circuits are introduced to deal with non-invertible symmetry on lattice models. I want to advertise this to someone else to get some inspirations. My plan is to cover chapter 2,3,6 of the article.
(7) Weiguang Cao
Title: Noninvertible SPT phases in lattice models
A summary of the recent work of Linhao and I on classification and exact lattice construction of SPT phases with Rep(Z_N \semiprod Z_2) symmetry.
Shorter Talks (option 1)
The rest of the participants