I am reading a paper by Hofman and Strominger. In the appendix A, I have reproduced the equations (A10). Now they made a statement that
"The Jacobi identity can be used to show that Oh and Op are local operators with no explicit coordinate dependence."
I am not able to prove this statement. I proceeded as follows:
I considered the Jacobi identities i[H,i[D,h±]]+cyclic combinations=0, and i[ˉP,i[D,h±]]+cyclic combinations=0.
But some terms appear like: i[D,∂±h±]. But I don't know how to compute this commutator.
Can anyone help me to prove the statement?
This post imported from StackExchange Physics at 2015-05-18 21:04 (UTC), posted by SE-user layman