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SUMMARY:Commuting symmetry operators for the Dirac equation - Marco Carigl
 ia\, Universidade Federal de Ouro Preto
DTSTART:20101105T130000Z
DTEND:20101105T140000Z
UID:TALK26866@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:The Dirac operator is an important tool in physics. The theory
  of conformal Killing-Yano (CKY) forms  shows that the most general symmet
 ry operator for the Dirac equation that is linear in derivatives can be wr
 itten in terms of CKY forms. In this talk I will provide an introduction t
 o the current state of the theory and discuss recent results. It is possib
 le to generate new CKY forms in terms of “Killing-Yano brackets”\, tha
 t are linked to Schauten-Nijenhus brackets\, by imposing linearity constra
 ints. One application of these ideas is given by Kerr-NUT-(A)dS space-time
 s with a tower of CKY tensors. For these there is a set of mutually commut
 ing operators that commute with the Dirac operator\, underlying separabili
 ty of various field equations in these geometries. 
LOCATION:Pavilion B Potter Room (B1.19)
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