Manuscript XX-F@1 · XX-F.tex · section · de0bd24f

Consistency is conditional on the operation

The conditional native breaking formula › Consistency is conditional on the operation · lines 1290–1301

XX-F@1#eq:consistency

For a separately constructed Lie-algebra action $d_{x} = d_{0, x} + ℏ d_{1, x}$ satisfying $[d_{x}, d_{y}] = d_{[x, y]}$ , and an insertion with $d_{0, x} O = 0$ , let $d_{x} I = ℏ B_{x}$ . Then

d_{0, x} B_{y} - d_{0, y} B_{x} = B_{[x, y]} .

Displayed formulas in this passage

XX-F@1#eq:consistency · line 1297
$d_{0, x} B_{y} - d_{0, y} B_{x} = B_{[x, y]} .$

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proof: Proof
section: Consistency is conditional on the operation