Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 14 Mars 2024 
Heure  11:45 
Institut  IHP 
Salle  Grisvard (314) 
Nom de l'orateur  Khlaif 
Prenom de l'orateur  Osama 
Addresse email de l'orateur  
Institution de l'orateur  University of Birmingham 
Titre  Grothendieck lines in 3d SQCD and the quantum Ktheory of the Grassmannian 
Résumé  In this talk I will revisit the correspondence between 3d $\mathcal{N}=2$ SQCD and the quantum Ktheory of the Grassmannian variety Gr$(N_c, n_f)$. 3d $N=2$ SQCD has gauge group $U(N_c)_{k,k+\ell N_c}$ 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 ChernSimons (CS) levels $(k,\ell)$ that give us 3d GLSMs that flow to 3d NLSMs with target Gr$(N_c,n_f)$. Then, I will review the 3d Amodel of these GLSMs and the relation between the correlation functions in this model and quantum Ktheory 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 halfBPS 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. 
Numéro de preprint arXiv  2309.06980 
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