Hint to Supersymmetry from GR Vacuum

by Dr Otari Sakhelashvili (The University of Sydney)

Friday 26 Jul 2024, 15:00 → 17:00 Europe/Berlin

A.1.01/03 - Alps (New)

General Relativity has a $\theta$-vacuum structure, generated by Eguchi-Hanson instantons. The $S$-matrix formulation of the gravity suggests that the $\theta$-vacuum structure must not be sustained by the theory. The above requirement defines Gravity CP problem. It can only be solved via chiral Spin-3/2 fermion, which realizes supergravity. By consistency, we predict spontaneously broken supersymmetry and $R$-axion. The axion gets mass exclusively from gravitational $\theta$-vacuum. The $R$-axion could be a good dark matter candidate. We also find a constraint on spin-1/2 fermions which should not contribute to the chiral gravitational anomaly.

Based on: 2406.18402 [hep-th].