Fermion zero mode associated with instantonlike self-dual solution to lattice Euclidean gravity

TL;DR

This paper demonstrates the existence of a fermion zero mode linked to a self-dual solution in lattice Euclidean gravity, advancing understanding of fermion-gravity interactions on discrete spacetime.

Contribution

It proves the existence of a fermion zero mode associated with a self-dual lattice gravity solution, a novel result in lattice quantum gravity research.

Findings

Fermion zero mode exists for self-dual lattice gravity solutions

Establishes a link between fermion zero modes and lattice gravity configurations

Advances understanding of fermion behavior in discrete gravitational backgrounds

Abstract

We prove the existence of lattice fermion zero mode associated with self-dual lattice gravity solution.