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 > Joint HEP-TH Seminar Grothendieck lines in 3d SQCD and Quantum K-theory of the Grassmannian
Grothendieck lines in 3d SQCD and Quantum K-theory of the Grassmannian
Organizers
Hongfei Shu , Rui-Dong Zhu , Hao Zou
Speaker
Osama Khlaif
Time
Friday, October 13, 2023 4:00 PM - 6:00 PM
Venue
A3-3-201
Online
Zoom 388 528 9728 (BIMSA)
Abstract
In this talk I will revisit the correspondence between 3d $\mathcal{N}=2$ SQCD and the quantum K-theory of the Grassmannian variety Gr$(N_c, n_f)$. 3d $N=2$ SQCD has gauge group $U(N_c)_{k,k+l N_c}$ and $n_f$ chiral matter multiplets in the fundamental representation of $U(N_c)$. By analysing the moduli space of 3d vacua, we will fix the values of the Chern-Simons (CS) levels $(k,l)$ that give us 3d GLSMs that flow to 3d NLSMs with target Gr$(N_c,n_f)$. Then, I will review the 3d A-model of these GLSMs and the relation between the correlation functions in this model and quantum K-theory ring of the Grassmannian. A standard basis of this ring is given by the Schubert classes. These are the classes of the structure sheaves of the Schubert subvarieties. I will show how one can construct line operators in the 3d GLSM that flow to these classes in the IR. This talk is based on [arXiv: 2301.10753, 2305.00534, 2309.06980] with C. Closset.
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