Exact Vacuum Energy of Orbifold Lattice Theories
So Matsuura

TL;DR
This paper proves that the vacuum energy in certain orbifold lattice theories derived from supersymmetric Yang-Mills matrix theories remains exactly zero at all perturbative levels, indicating preserved supersymmetry.
Contribution
It provides a rigorous proof that the vacuum energy of orbifold lattice theories with four and eight supercharges is not affected by perturbative quantum corrections.
Findings
Vacuum energy remains exactly zero perturbatively.
Orbifold lattice theories preserve supersymmetry at the quantum level.
No perturbative quantum corrections to vacuum energy in these theories.
Abstract
We investigate the orbifold lattice theories constructed from supersymmetric Yang-Mills matrix theories (mother theories) with four and eight supercharges. We show that the vacuum energy of these theories does not receive any quantum correction perturbatively.
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