Manuscript Em01-F@3 · Em01-F-v3.tex · section · 225e59af

Combined expression for analysis

Exact localized crossed-line and tensor regrouping › Combined expression for analysis · lines 2777–2799

Em01-F@3#eq:Ucombined

For compact $Φ$ , define

U_{δ}^{I, J} [Φ] = g (y) [(e^{I})^{μν} f^{*} (\partial_{2, μ} d_{δ}) \partial_{y^{ν}} Φ_{J} - \frac{m ^{2}}{2} ϑ_{I} f^{*} d_{δ} Φ_{J}] .

Let

P_{supp}^{I, J} = P_{6}^{I, J} + P_{8}^{I, J} + P_{9, der}^{I, J} + P_{9, mass}^{I, J} .

Displayed formulas in this passage

Em01-F@3#eq:Ucombined · line 2780
$U_{δ}^{I, J} [Φ] = g (y) [(e^{I})^{μν} f^{*} (\partial_{2, μ} d_{δ}) \partial_{y^{ν}} Φ_{J} - \frac{m ^{2}}{2} ϑ_{I} f^{*} d_{δ} Φ_{J}] .$
unlabeled · line 2791
$P_{supp}^{I, J} = P_{6}^{I, J} + P_{8}^{I, J} + P_{9, der}^{I, J} + P_{9, mass}^{I, J} .$