Statut  Confirmé 
Série  STRLPTENSHE 
Domaines  hepth 
Date  Mardi 10 Avril 2018 
Heure  11:30 
Institut  LPTENS 
Salle  LPTENS library 
Nom de l'orateur  Sun 
Prenom de l'orateur  Kaiwen 
Addresse email de l'orateur  
Institution de l'orateur  SISSA 
Titre  Blowup Equations for Refined Topological Strings 
Résumé  G\"{o}ttscheNakajimaYoshioka Ktheoretic blowup equations characterize the Nekrasov partition function of five dimensional $\mathcal{N}=1$ supersymmetric gauge theories compactified on a circle, which via geometric engineering correspond to the refined topological string theory on $SU(N)$ geometries. We study the Ktheoretic blowup equations for general local CalabiYau threefolds. We find that both vanishing and unity blowup equations exist for the partition function of refined topological string. These blowup equations are in fact the functional equations for the partition function and each of them results in infinite identities among the refined free energies. Evidences show that they can be used to determine the full refined BPS invariants of local CalabiYau threefolds. This serves an independent and sometimes more powerful way to compute the partition function other than the refined topological vertex in the Amodel and the refined holomorphic anomaly equations in the Bmodel. The vanishing blowup equations also result in the compatibility formulae between the exact NekrasovShatashivili quantization conditions and the GrassiHatsudaMari\~no conjecture for quantum curves. 
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