A NEW HIGHER ORDER YANG–MILLS–HIGGS FLOW ON RIEMANNIAN -MANIFOLDS

DOI10.1017/s0004972722001265zbMath1518.58008arXiv2201.02826OpenAlexW4310182063MaRDI QIDQ6176147

Hemanth Saratchandran, Pan Zhang, Jiaogen Zhang

Publication date: 25 July 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02826

zbMATH Keywords

line bundlelong-time existencehigher order Yang-Mills-Higgs flow

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Calculus on manifolds; nonlinear operators (58C99) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

• Unnamed Item
• On a uniform estimate for the quaternionic Calabi problem
• Heat flow of Yang-Mills-Higgs functionals in dimension two
• Global existence of the \(m\)-equivariant Yang-Mills flow in four-dimensional spaces
• Connections with \(L^ p \)bounds on curvature
• The Yang-Mills-Higgs heat flow on \(\mathbb{R}^ 3\)
• Gradient flow for the Willmore functional
• Long-time existence for Yang-Mills flow
• Higher order Seiberg-Witten functionals and their associated gradient flows
• Higher order Yang-Mills flow
• The Limit of the Yang–Mills–Higgs Flow on Higgs Bundles
• The Yang-Mills equations over Riemann surfaces
• GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS

This page was built for publication: A NEW HIGHER ORDER YANG–MILLS–HIGGS FLOW ON RIEMANNIAN -MANIFOLDS