Noncommutative geometry and the BV formalism: application to a matrix model
Mathematical Physics
2017-08-23 v1 math.MP
Abstract
We analyze a U(2)-matrix model derived from a finite spectral triple. By applying the BV formalism, we find a general solution to the classical master equation. To describe the BV formalism in the context of noncommutative geometry, we define two finite spectral triples: the BV spectral triple and the BV auxiliary spectral triple. These are constructed from the gauge fields, ghost fields and anti-fields that enter the BV construction. We show that their fermionic actions add up precisely to the BV action. This approach allows for a geometric description of the ghost fields and their properties in terms of the BV spectral triple.
Keywords
Cite
@article{arxiv.1604.00046,
title = {Noncommutative geometry and the BV formalism: application to a matrix model},
author = {Roberta A. Iseppi and Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:1604.00046},
year = {2017}
}
Comments
18 pages