Ground state Dirac bubbles and Killing spinors

9 Mar 2020 William Borrelli Andrea Malchiodi Ruijun Wu

We prove a classification result for ground state solutions of the critical Dirac equation on $\mathbb{R}^n$, $n\geq2$. By exploiting its conformal covariance, the equation can be posed on the round sphere $\mathbb{S}^n$ and the non-zero solutions at the ground level are given by Killing spinors, up to conformal diffeomorphisms... (read more)

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  • ANALYSIS OF PDES
  • MATHEMATICAL PHYSICS
  • DIFFERENTIAL GEOMETRY
  • MATHEMATICAL PHYSICS
  • 53C27, 58J90, 81Q05