I will discuss the most generic covariant construction of infinite derivative theory of gravity which is ghost free and singularity free around Minkowski background. I will discuss the propagator, Euclidean aspect of Quantum Gravity, Holographic interpretation of infinite derivative gravity, and describe how to obtain Ghost free propagator around
deSitter and Anti-deSitter backgrounds.
The talk will be based on summary of following results:
Phys.Rev.Lett. 108 (2012) 031101,
Phys.Rev.Lett. 114 (2015) no.20, 201101,
Class.Quant.Grav. 32 (2015) no.21, 215017, and
" e-Print: arXiv:1602.08475 [hep-th]",