7 Σ$_{1}$ SU (2)$_{L}$ Σ$_{2}$ Σ$_{2}$$_{N}$ Σ$_{2}$$_{N}$$_{+1}$ U (1)$_{Y}$ G$_{1}$ G$_{N}$ G$_{N}$$_{+1}$ G$_{2}$$_{N}$ U ⇓ Σ$_{N}$$_{+2}$ y = 0 Σ$_{2}$$_{N}$$_{−}$$_{2}$ Σ$_{2}$$_{N}$$_{−}$$_{1}$ Σ$_{2}$$_{N}$ Σ$_{2}$$_{N}$$_{+1}$ U y = π R Σ$_{N}$ Σ$_{4}$ Σ$_{3}$ Σ$_{2}$ Σ$_{1}$ G$_{N}$$_{+1}$ G$_{2}$$_{N}$$_{−}$$_{2}$ G$_{2}$$_{N}$$_{−}$$_{1}$ G$_{2}$$_{N}$ U (1)$_{Y}$ G$_{N}$ G$_{3}$ G$_{2}$ G$_{1}$ SU (2)$_{L}$ FIG. 2: Interpretation of the cut link in the continuum limit of the GD-BESS model. The first half of the moose is “flipped” and superimposed to the second half. In this way, the N th and the N + 1 th sites are identified with the y = 0 brane, while the 1 st and the 2 N + 1 th with the y = πR one. fields living next to the cut link, A N and A N $^{+1}$. Putting all together, the 5D limit of GD-BESS is described by the action where: S = ∫ d $^{4}$x ∫ πR 0 √ − g dy [ − 1 4 g 2 5 L a $_{MN}$L a MN − 1 4 g 2 5 R a $_{MN}$R a MN + δ ( y − πR ) ( − 1 4˜ g $_{2}$L a $_{µν}$L a µν − 1 4˜ g ′ $_{2}$R 3 $_{µν}$R 3 µν − ˜ v 2 4 ( D$_{µ}$U $_{)}$†$_{D}$ $^{µ}$U + fermion terms )] , (8) • with the usual convention, the greek indices run from 0 to 3, while capital latin ones take the values (0 , 1 , 2 , 3 , 5), with “5” labelling the extra direction • g is the determinant of the metric tensor g$_{MN}$ , defined by ds 2 = g$_{MN}$dx $^{M}$dxN ≡ b ( y ) η$_{µν}$dx $^{µ}$dxν + dy $^{2}$, (9)