Abelian instantons over the Chen-Teo AF geometry

2020/12/23 by Thomas John Baird, Hari K. Kunduri
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Equivalence (formal languages) #Gauge theory #Instanton #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #gr-qc #math.DG

paper · pdf · doi:10.1016/j.geomphys.2021.104310

arxiv created 2020/12/23 · openalex publication_date 2021/06/15 · arxiv updated 2021/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We classify finite energy harmonic 2-forms on the asymptotically flat gravitational instanton constructed by Chen and Teo. We prove that every U(1)-bundle admits a unique anti-self-dual Yang-Mills instanton (up to gauge equivalence) which we describe explicitly in coordinates. As an application, we compute the classical partition function for Maxwell theory with theta term.

Citations

• Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL (2,Z) invariance in string theory
• Hodge cohomology of gravitational instantons
• The Sen conjecture for fundamental monopoles of distinct types
• A new AF gravitational instanton
• The moment map and equivariant cohomology
• New Results in Topological Field Theory and Abelian Gauge Theory
• Mathematical general relativity: a sampler