Renormalization and BRST symmetry in Donaldson-Witten theory
Abstract
The presence of a BRST symmetry in topologically twisted gauge theories makes a precise analysis of these theories feasible. While the global BRST symmetry suggests that correlation functions of BRST exact observables vanish, this decoupling might be obstructed due to a contribution from the boundary of field space. Motivated by divergent BRST exact observables on the Coulomb branch of Donaldson-Witten theory, we put forward a new prescription for the renormalization of correlation functions on the Coulomb branch. This renormalization is based on the relation between Coulomb branch integrals and integrals over a modular fundamental domain, and establishes that BRST exact observables indeed decouple in Donaldson-Witten theory.
Keywords
Cite
@article{arxiv.1901.03540,
title = {Renormalization and BRST symmetry in Donaldson-Witten theory},
author = {Georgios Korpas and Jan Manschot and Gregory W. Moore and Iurii Nidaiev},
journal= {arXiv preprint arXiv:1901.03540},
year = {2023}
}
Comments
32 pages + appendices, 2 figures; v2: minor changes, v3: corrected numerical value of 1-loop amplitude