Killing spinor

Killing spinor is a term used in mathematics and physics. By the more narrow definition, commonly used in mathematics, the term Killing spinor indicates those twistorspinors which are also eigenspinors of the Dirac operator. The term is named after Wilhelm Killing. Another equivalent definition is that Killing spinors are the solutions to the Killing equation for a so-called Killing number. More formally:

Killing spinor

Killing spinor is a term used in mathematics and physics. By the more narrow definition, commonly used in mathematics, the term Killing spinor indicates those twistorspinors which are also eigenspinors of the Dirac operator. The term is named after Wilhelm Killing. Another equivalent definition is that Killing spinors are the solutions to the Killing equation for a so-called Killing number. More formally: