Perturbative quantum gravity on complex spacetime

作者：Faizal Mir^*

来源：Physics Letters B, 2011, 705(1-2): 120-123.

DOI：10.1016/j.physletb.2011.09.062

• BV formalism
• Non-anticommutative quantum gravity

In this Letter 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.

• 出版日期2011-11-3