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arXiv · 1109.3443

Perturbative Quantum Gravity on Complex Spacetime

Mir Faizal
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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.

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Mir Faizal. 2011-09-15. Perturbative Quantum Gravity on Complex Spacetime. https://doi.org/10.1016/j.physletb.2011.09.062

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