Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Mardi 18 Septembre 2018
Heure 11:30
Institut LPTENS
Salle LPTENS library
Nom de l'orateur Korpas
Prenom de l'orateur Georgios
Addresse email de l'orateur
Institution de l'orateur Trinity College Dublin
Titre Coulomb branch integrals and mock modular forms
Résumé We revisit Donaldson-Witten theory, that is the N=2 topologically twisted super Yang-Mills theory with gauge group SU(2) or SO(3) on compact 4-manifolds. We study the effective action in the Coulomb branch of the theory and by considering a specific Q-exact deformation to the theory we find interesting connections to mock modular forms. A specific operator of this theory computes the famous Donaldson invariants and our analysis makes their computation more accessible than previously. We also extend these ideas to the case of ramified Donaldson-Witten theory, that is the theory in the presence of embedded surfaces. Our results make calculations of Coulomb branch operators more trackable and we hope that they can help in the search of new 4-manifold invariants.
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