Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

  • About
    • President
    • Governance
    • Partner Institutions
    • Visit
  • People
    • Management
    • Faculty
    • Postdocs
    • Visiting Scholars
    • Staff
  • Research
    • Research Groups
    • Courses
    • Seminars
  • Join Us
    • Faculty
    • Postdocs
    • Students
  • Events
    • Conferences
    • Workshops
    • Forum
  • Life @ BIMSA
    • Accommodation
    • Transportation
    • Facilities
    • Tour
  • News
    • News
    • Announcement
    • Downloads
About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Geometry and Physics Seminar 2021 Fall Non-invertible topological defects in 4-dimensional $Z_2$ pure lattice gauge theory
Non-invertible topological defects in 4-dimensional $Z_2$ pure lattice gauge theory
Organizer
Chi Ming Chang
Speaker
Satoshi Yamaguchi
Time
Tuesday, November 16, 2021 11:00 AM - 1:00 PM
Venue
1120
Online
Zoom 388 528 9728 (BIMSA)
Abstract
Recently, there has been progress in extending the concept of symmetry by using the notion of topological defects. One of such new symmetries is so-called "non-invertible symmetry." In 2 dimensions, non-invertible symmetries are investigated actively and shown to be a powerful tool. On the other hand, non-invertible symmetries in higher dimensions are less understood than those in 2 dimensions. In this talk, we explore topological defects in the 4-dimensional pure $Z_2$ lattice gauge theory. This theory has 1-form $Z_2$ center symmetry as well as the Kramers-Wannier-Wegner (KWW) duality. We construct the KWW duality topological defects and $Z_2$ center symmetry defects in a similar way to those constructed by Aasen, Mong, Fendley for the 2-dimensional Ising model. These duality defects turn out to be non-invertible. In other words, the KWW duality is not a symmetry in the traditional sense, but a non-invertible symmetry. We also construct the junctions among these topological defects. The crossing relations among these defects are derived. The expectation values of some configurations of these topological defects are calculated by using these crossing relations.
Beijing Institute of Mathematical Sciences and Applications
CONTACT

No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

Copyright © Beijing Institute of Mathematical Sciences and Applications

京ICP备2022029550号-1

京公网安备11011602001060 京公网安备11011602001060