Noncommutativity and Non-anticommutativity in Perturbative Quantum Gravity
Abstract
In this paper we will study perturbative quantum gravity on supermanifolds with both noncommutative and non-anticommutative coordinates. We shall first analyses the BRST and the anti-BRST symmetries of this theory. Then we will also analyze the effect of shifting all the fields of this theory in background field method. We will construct a Lagrangian density which apart from being invariant under the extended BRST transformations is also invariant under on-shell extended anti-BRST transformations. This will be done by using the Batalin-Vilkovisky (BV) formalism. Finally, we will show that the sum of the gauge-fixing term and the ghost term for this theory can be elegantly written down in superspace with two Grassmann parameters.
Cite
@article{arxiv.1204.0295,
title = {Noncommutativity and Non-anticommutativity in Perturbative Quantum Gravity},
author = {Mir Faizal},
journal= {arXiv preprint arXiv:1204.0295},
year = {2015}
}
Comments
9 pages, 0 figures, accepted for publication in Mod. Phys. Lett. A