報告時間：2024年7月14日上午10：00-11：00
報告地點：騰訊線上會議701-897-337
報告人：王郅臻（愛爾蘭都柏林圣三一大學(xué)）
報告題目：Regularization in Donaldson-Witten Theory and its Applications
摘要： The Coulomb branch integral can be evaluated in 4D N=2 topologically twisted SYM, a.k.a. Donaldson--Witten (DW) theory, by integrating over the modular fundamental domain. This integral may diverge when the gauge coupling goes to imaginary infinity, therefore, we put forward a new prescription for the regularization of the fundamental domain and associated moduli space. Beyond evaluating the non-holomorphic correlation functions, we verify the universality of this regularization scheme in two examples. Firstly, in presence of a Kahler potential observable which introduces soft supersymmetry breaking, one can read off the phase transitions of the associated adjoint N=2 SQCD from the convergence and modular domains of correlation functions; Secondly, we restore the vacuum amplitude of one-loop closed string theory in a more efficient way with analytic expression obtained. Finally, we generalized our prescription and conjectured that one can rewrite the Coulomb branch integral in terms of the harmonic Maass form. This talk is based on my ongoing work with Jan Manschot.
