Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série RENC-THEO
Domaines hep-th
Date Jeudi 10 Janvier 2019
Heure 11:40
Institut IHP
Salle 201
Nom de l'orateur Nawata
Prenom de l'orateur Satoshi
Addresse email de l'orateur snawata [at] gmail [dot] com
Institution de l'orateur Fudan University
Titre Refined Chern-Simons theory at large N
Résumé We formulate large N duality of U(N) refined Chern-Simons theory with a torus knot/link in S3. By studying refined BPS states in M-theory, we provide the explicit form of low-energy effective actions of Type IIA string theory with D4-branes on the Ω-background. This form enables us to relate refined Chern-Simons invariants of a torus knot/link in S3 to refined BPS invariants in the resolved conifold. Assuming that the extra U(1) global symmetry acts on BPS states trivially, the duality predicts graded dimensions of cohomology groups of moduli spaces of M2-M5 bound states associated to a torus knot/link in the resolved conifold. Thus, this formulation can be also interpreted as a positivity conjecture of refined Chern-Simons invariants of torus knots/links.
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