Gravity as Gauge Theory Squared: A Ghost Story
High Energy Physics - Theory
2020-06-04 v3 General Relativity and Quantum Cosmology
Abstract
The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion of a gravity-two-form-dilaton system are derived from the product of two Yang-Mills theories in a BRST covariant form, to linear approximation. The inclusion of ghost fields facilitates the separation of the graviton and dilaton. The gravitational gauge fixing term is uniquely determined by those of the Yang-Mills factors which can be freely chosen. Moreover, the resulting gravity-two-form-dilaton Lagrangian is anti-BRST invariant and the BRST and anti-BRST charges anti commute as a direct consequence of the formalism.
Cite
@article{arxiv.1807.02486,
title = {Gravity as Gauge Theory Squared: A Ghost Story},
author = {A. Anastasiou and L. Borsten and M. J. Duff and S. Nagy and M. Zoccali},
journal= {arXiv preprint arXiv:1807.02486},
year = {2020}
}
Comments
Updated to match published version. Minor clarifications/corrections made