Year: 2024
Type: preprint
Abstract: We prove that the renormalized Yang-Mills energy on six dimensional Poincaré-Einstein spaces can be expressed as the bulk integral of a local, pointwise conformally invariant integrand. We show that the latter agrees with the corresponding anomaly boundary integrand in the seven dimensional renormalized Yang-Mills energy. Our methods rely on a generalization of the Chang-Qing-Yang method for computing renormalized volumes of Poincaré-Einstein manifolds, as well as known scattering theory results for Schrödinger operators with short range potentials.
Source: arXiv (Cornell University)
Authors: Gover, A. R., Latini, E., Waldron, A., Zhang, Y.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403621286