Extending the Worldvolume Hybrid Monte Carlo algorithm to group manifolds

The Worldvolume Hybrid Monte Carlo (WV-HMC) method [arXiv:2012.08468] is a reliable and versatile algorithm towards solving the sign problem. This method eliminates the ergodicity problem inherent in methods based on Lefschetz thimbles at low cost. In this talk, in preparation for its application to lattice QCD, we extend the WV-HMC method to the case where the configuration space is a group manifold. The correctness of the algorithm is confirmed for the one-site model with complex coupling or with a topological term.