Gravity and Strings

KK9M
(9,1,1)
KK7M
(7,1,3)
M5-3
(6,3,2)
M2-6
(3,6,2)
WM-7
(1,7+1,2)
KK9A
(9,1,0)
D8
(9,1)
KK8A
(8,1,1)
(7,1,2)
D6 D6-1
(7,3)
S5A-2
(6,2,2)
F1A-6 D2-5
D4-3 KK6A
(2,6,2) (3,5,2)
(5,3,2) (6,1,3)
D0-7
(1,7,2)
(1,6+1,2)
WA-6
S8 D8
(9,0) (9,0)
S7 D7
(8,1) (8,1)
S6 D6
(7,2) (7,2)
D3-3 KK5 S4-2 D4-2
S5-1 D5-1 S5-1(s)
(4,3,2) (5,1,3) (5,2,2) (5,2,2)
(6,1,2) (6,1,2) (6,1,2)
K-6(s) D1-5 F1-5 D2-4
(1,6,2) (2,5,2) (2,5,2) (3,4,2)
K-6
(1,6,2)
W-5 D0-6
(1,5+1,2) (1,6,2)
S9 D9
(10,0) (10,0)
(8,2) (8,2) (8,2) (8,2)
S7 S7 D7 D7
(2,6,2) (2,6,2) (4,4,2) (6,1,3) (6,2,2) (6,2,2)
D1-6 F1B-6 D3-4 KK6B S5-2 D5-2
(1,6+1,2)
WB-6
Fig. 19.6. Duality relations between KK branes. The numbers in parentheses represent the worldvolume dimension and
isometric and transverse directions. The arrows indicate dimensional reduction in the corresponding kind of direction. In
the upper row we represent M-theory KK branes, immediately below are ten-dimensional type-IIA branes, and below them
nine-dimensional branes. Type-IIB KK branes are in the bottom row. Pairs of branes in boxes are S-duality doublets. Singlets
are denoted with an (s).