Manuscript II-B@1 · II-B-v1.tex · section · bfd2eb3c

Three admissible labels

Complete contacts and the exact three-row certificate › Three admissible labels · lines 845–885

II-B@1#eq:momenta

Use upper-index momenta

k_{1} k_{3} = (1, 0, 0, 1), = (- 1, - 1, 0, 0), k_{2} k_{4} = (1, 0, 0, - 1), = (- 1, 1, 0, 0),

and covariant tensors

A = diag (0, 1, - 1, 0), B = diag (0, 0, - 1, 1) .

Leg one is replaced, the physical tensors are $A, B, B$ , and their references are $t_{0} = (1, 0, 0, 0)$ .

Set $S = (β_{0}, β_{+}, β_{-})$ .

Each momentum is nonzero and null; they sum to zero, and

s = - 4, t = u = 2.

The tensors are symmetric, trace free, temporally zero, and transverse to their corresponding momenta. Thus all three labels belong to $X$ .

Displayed formulas in this passage

II-B@1#eq:momenta · line 848
$k_{1} k_{3} = (1, 0, 0, 1), = (- 1, - 1, 0, 0), k_{2} k_{4} = (1, 0, 0, - 1), = (- 1, 1, 0, 0),$
unlabeled · line 858
$A = diag (0, 1, - 1, 0), B = diag (0, 0, - 1, 1) .$
unlabeled · line 879
$s = - 4, t = u = 2.$