Commuting symmetry operators for the Dirac equation

Add to your list(s) Download to your calendar using vCal

• Marco Cariglia, Universidade Federal de Ouro Preto
• Friday 05 November 2010, 13:00-14:00
• Pavilion B Potter Room (B1.19).

If you have a question about this talk, please contact David Kubiznak.

The Dirac operator is an important tool in physics. The theory of conformal Killing-Yano (CKY) forms shows that the most general symmetry operator for the Dirac equation that is linear in derivatives can be written in terms of CKY forms. In this talk I will provide an introduction to the current state of the theory and discuss recent results. It is possible to generate new CKY forms in terms of “Killing-Yano brackets”, that are linked to Schauten-Nijenhus brackets, by imposing linearity constraints. One application of these ideas is given by Kerr-NUT-(A)dS space-times with a tower of CKY tensors. For these there is a set of mutually commuting operators that commute with the Dirac operator, underlying separability of various field equations in these geometries.

This talk is part of the DAMTP Friday GR Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• Cambridge Astronomy Talks
• Cosmology lists
• Cosmology, Astrophysics and General Relativity
• DAMTP Friday GR Seminar
• DAMTP info aggregator
• Interested Talks
• Kavli Institute for Cosmology Talk Lists
• Pavilion B Potter Room (B1.19)
• Priscilla
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.