Perturbative Quantum Gravity on Complex Spacetime
arXiv:1109.3443 · doi:10.1016/j.physletb.2011.09.062
Abstract
In this paper we will study non-anticommutative perturbative quantum gravity on spacetime with a complex metric. After analysing the BRST symmetry of this non-anticommutative perturbative quantum gravity, we will also analyse the effect of shifting all the fields. We will construct a Lagrangian density which is invariant under the original BRST transformations and the shift transformations in the Batalin-Vilkovisky (BV) formalism. Finally, we will show that the sum of the gauge-fixing term and the ghost term for this shift symmetry invariant Lagrangian density can be elegantly written down in superspace with a single Grassmann parameter.
9 pages, 0 figures, accepted for publication in Phys. Lett. B
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