Fixture

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00 (A 5){(A_5)}'' E 7(a 2)E_7(a_2) G manifest= (E 7) 36 × (G 2) 12 G_{\text{manifest}}={(E_7)}_{36}\times {(G_2)}_{12} hypermultiplet representation = 1 2 ( 56 , 1 ) \text{hypermultiplet representation} = \tfrac{1}{2}(56,1) G F= (E 7) 24 × (G 2) 12 G_{\text{manifest}}={(E_7)}_{24}\times {(G_2)}_{12} num hypers= 28 \text{num}_{\text{hypers}} = 28 n h=112 (without the free hypers) n_h=112\quad \text{(without the free hypers)} n v=56 n_v=56 dimCoulomb=4 \dim\mtext{Coulomb}=4
Graded Coulomb branch dimensions
n 2 n_{2} n 3 n_{3} n 4 n_{4} n 5 n_{5} n 6 n_{6} n 8 n_{8} n 9 n_{9} n 10 n_{10} n 12 n_{12} n 14 n_{14} n 18 n_{18}
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