Edge states and the $\eta$ invariant
High Energy Physics - Theory
2023-09-06 v2
Abstract
We propose a relation between the invariant on a manifold with boundary, the invariants of edge states, and the invariant in an infinite volume limit. With the example of planar fermions with bag and chiral bag boundary conditions we show that this relation holds whenever edge states are sufficiently well-localized near the boundary. As a by-product we show that the spectrum of edge modes for chiral bag boundary conditions is linear but bounded.
Keywords
Cite
@article{arxiv.2305.13606,
title = {Edge states and the $\eta$ invariant},
author = {Rodrigo Fresneda and Lucas de Souza and Dmitri Vassilevich},
journal= {arXiv preprint arXiv:2305.13606},
year = {2023}
}
Comments
8 pages, v2: minor changes, a reference added