5 papers · 1 filter
The facts on quantum self-dual Einstein gravity and self-dual Yang-Mills theory
Noah Miller
Self-dual Einstein gravity is a one-loop exact, UV and IR finite, diffeomorphism invariant, non-unitary theory of quantum gravity in four dimensions. The only non-trivial amplitude…
Generating Hodges' Graviton MHV Formula with an Ward Identity
Alfredo Guevara, Elizabeth Himwich, Noah Miller
Hodges' formula expresses the tree-level all-multiplicity Einstein gravity MHV amplitude as a matrix determinant. In this work, we prove that Hodges' determinant is generated by an…
Spacetime Symmetry and Self-Dual Gravity in Plebanski Gauge
Noah Miller
The space of self-dual Einstein spacetimes in 4 dimensions is acted on by an infinite dimensional Lie algebra called the algebra. In this work we explain how one ca…
Path integral games with de Sitter α-vacua
Noah Miller
The -vacua are a 1-parameter family of quantum field vacua in de Sitter space which are invariant under the isometry group . In this work give a path integral construct…
Proof of the graviton MHV formula using Plebański's second heavenly equation
Noah Miller
Self-dual spacetimes can be thought of as spacetimes containing only positive helicity gravitons. In this work we give a perturbiner expansion for self-dual spacetimes based on Ple…