Ground state Dirac bubbles and Killing spinors

William Borrelli, Andrea Malchiodi, Ruijun Wu

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

We prove a classification result for ground state solutions of the critical Dirac equation on R-n, n >= 2. By exploiting its conformal covariance, the equation can be posed on the round sphere S-n and the non-zero solutions at the ground level are given byKilling spinors, up to conformal diffeomorphisms. Moreover, such ground state solutions of the critical Dirac equation are also related to the Yamabe equation for the sphere, for which we crucially exploit some known classification results.
Lingua originaleEnglish
pagine (da-a)1151-1180
Numero di pagine30
RivistaCommunications in Mathematical Physics
DOI
Stato di pubblicazionePubblicato - 2021

Keywords

  • Dirac bubbles

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