TY - JOUR
T1 - Ground state Dirac bubbles and Killing spinors
AU - Borrelli, William
AU - Malchiodi, Andrea
AU - Wu, Ruijun
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.
PY - 2021/4
Y1 - 2021/4
N2 - We prove a classification result for ground state solutions of the critical Dirac equation on Rn, n⩾ 2. By exploiting its conformal covariance, the equation can be posed on the round sphere Sn and the non-zero solutions at the ground level are given by Killing 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.
AB - We prove a classification result for ground state solutions of the critical Dirac equation on Rn, n⩾ 2. By exploiting its conformal covariance, the equation can be posed on the round sphere Sn and the non-zero solutions at the ground level are given by Killing 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.
UR - https://www.scopus.com/pages/publications/85101474345
U2 - 10.1007/s00220-021-04013-1
DO - 10.1007/s00220-021-04013-1
M3 - Article
AN - SCOPUS:85101474345
SN - 0010-3616
VL - 383
SP - 1151
EP - 1180
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -