Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series STR-LPT-ENS-HE
Subjects hep-th
Date Tuesday 18 September 2018
Time 11:30
Institute LPTENS
Seminar Room LPTENS library
Speaker's Last Name Korpas
Speaker's First Name Georgios
Speaker's Email Address
Speaker's Institution Trinity College Dublin
Title Coulomb branch integrals and mock modular forms
Abstract 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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