nLab analogy between 11D and 5D SuGra -- table

Structural similarity between D=11 and minimal D=5 supergravity
(cf. Mizoguchi & Ohta 1998; Fujii, Kemmoku & Mizoguchi 1999, 2000)

bulk spacetime dimensionD=11D=11D=5D = 5
bulk (higher) gauge fieldC-fieldMCS field
electric braneprobe M2-brane
black M2-brane
?0-brane
black hole in 5D
magnetic braneprobe M5-brane
black M5-brane
L1-brane
black string
near horizon geometriesel: AdS 4×S 7AdS_4 \times S^7
mg: AdS 7×S 4AdS_7 \times S^4
el: AdS 2×S 3AdS_2 \times S^3
mg: AdS 3×S 2AdS_3 \times S^2
bulk magnetic flux densityG 4G_4F 2F_2
bulk electric flux densityG 7= 11G 4G_7 = \star_{11} G_4F 3= 5F 2F_3 = \star_5 F_2
chiral flux on mg braneH 3H_3H 1H_1
Bianchi identitiesdG 4 =0 dG 7 =12G 4G 4 dH 3 =ϕ *G 4\begin{aligned}\mathrm{d} G_4 & = 0 \\ \mathrm{d} G_7 & = \tfrac{1}{2} G_4 \wedge G_4 \\ \mathrm{d} H_3 & = \phi^\ast G_4\end{aligned}dF 2 =0 dF 3 =12F 2F 2 dH 1 =ϕ *F 2\begin{aligned}\mathrm{d} F_2 & = 0 \\ \mathrm{d} F_3 & = \tfrac{1}{2} F_2 \wedge F_2 \\ \mathrm{d} H_1 & = \phi^\ast F_2 \end{aligned}
proper flux quantization
minimally classified by
quaternionic Hopf fibration
S 7S 4S^7 \longrightarrow S^4
complex Hopf fibration
S 3S 2S^3 \longrightarrow S^2

Last revised on October 5, 2025 at 12:47:04. See the history of this page for a list of all contributions to it.