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- W2954848555 abstract "In our current study, we would like to $(1)$ revisit the aspects of (vacuum)Einstein gravity on a Lorentzian 3-manifold $M$ with vanishing cosmologicalconstant, which was heavily studied by E. Witten and shown to be renormalizableand finite theory, and $(2)$ to provide the construction of a certain stackassociated to the moduli of Einstein gravity, namely the moduli space $mathcal{E}(M) $ of Ricci-flat pseudo-Riemannian metrics on $M$. In thatrespect, we would like to employ a particular treatment to the subjectmotivated by the work of Benini, M., Schenkel, A., and Schreiber, U. (The Stackof Yang Mills Fields on Lorentzian Manifolds), which essentially consists ofcertain results along with the techniques based on a formulation of stacks inthe language of homotopy theory. This treatment essentially leads to a certainstacky formulation of Yang Mills fields on Lorentzian manifolds. We, on theother hand, intend to combine these result and adopt the homotopy theoreticallanguage $(i)$ to construct the stack associated to the space $ mathcal{E}(M)$ in $n$-dimensional set-up, and $(ii)$ show that the equivalence of quantumgravity with gauge theory in $2+1$ dimensions, in fact, induces an isomorphismof corresponding stacks in the case where $M$ is topologically of the form$Sigmatimes (0,infty)$ where $Sigma$ is a closed Riemann surface of genus$g>1$." @default.
- W2954848555 created "2019-07-12" @default.
- W2954848555 creator A5038099180 @default.
- W2954848555 date "2019-07-01" @default.
- W2954848555 modified "2023-09-27" @default.
- W2954848555 title "Stacky Formulation of Einstein Gravity" @default.
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