spin geometry, string geometry, fivebrane geometry …
rotation groups in low dimensions:
see also
In the context of spin geometry, the Feynman slash notation is a notation popular in physics texts, specifically in quantum field theory, where it was introduced by Richard Feynman, for the Clifford algebra-element associated with a given vector.
Abstractly, given an inner product space with associated Clifford algebra , then there is a canonical linear map
such that .
Now let be a linear basis for , so that every vector may be expanded, using the Einstein summation convention, as
and let be the corresponding generators of the Clifford algebra, then this map is given by
This particular class of instances of the Einstein summation convention on the right is further abbreviated with a slash as
This is the Feynman slash notation.
Similarly in quantum field theory, the Dirac operator on Minkowski spacetime may be expanded as and this is then similarly abbreviated as
Last revised on December 6, 2017 at 06:37:30. See the history of this page for a list of all contributions to it.