Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra

TL;DR

This paper investigates quantum corrections to fuzzy spacetimes using a supersymmetric reduced model based on Filippov 3-algebras, analyzing various algebraic structures to understand their effects on vacuum energies.

Contribution

It introduces a framework for calculating 1-loop vacuum energies of fuzzy spacetimes within a supersymmetric model employing different Filippov 3-algebras, including A_{2,2}, Nambu-Poisson, and Lorentzian types.

Findings

A_{2,2} algebra yields specific vacuum energy corrections.

Nambu-Poisson algebra in flat spacetime analyzed for quantum effects.

Lorentzian 3-algebra examined for its impact on vacuum energies.

Abstract

1-loop vacuum energies of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra are discussed. A_{2,2} algebra, Nambu-Poisson algebra in flat spacetime, and a Lorentzian 3-algebra are examined as 3-algebras.