Index Theorem for Domain Walls
Mathematical Physics
2024-10-29 v2 High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
The paper is devoted to the discussion of index theorem for domain walls condition. We give an extension of the theorem to the case, when not only Yang-Mills connection components have a jump on some surface of co-dimension 1, but also components of a Riemannian connection, while a metric remains continuous.
Cite
@article{arxiv.2008.02058,
title = {Index Theorem for Domain Walls},
author = {A. V. Ivanov},
journal= {arXiv preprint arXiv:2008.02058},
year = {2024}
}
Comments
LaTeX, 5 pages, the second version contains some changes (definition and notations)