Calculus of Variations and Geometric Measure Theory

W. Borrelli - A. Maalaoui

Some properties of Dirac-Einstein bubbles

created by borrelli on 21 May 2020
modified on 28 Sep 2020


Published Paper

Inserted: 21 may 2020
Last Updated: 28 sep 2020

Journal: J. Geom. Anal.
Year: 2020

ArXiv: 2005.04787 PDF


We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac-Einstein equations on $\mathbb{R}^3$, which appear in the bubbling analysis of conformal Dirac-Einstein equations on spin 3-manifolds. Moreover, we classify ground state solutions, proving that the scalar part is given by Aubin-Talenti functions, while the spinorial part is the conformal image of $-\frac{1}{2}$-Killing spinors on the round sphere $\mathbb{S}^3$.