nLab brane intersection




intersection of branes in string theory


brane intersections/bound states/wrapped branes/polarized branes

S-duality\,bound states:



M5-brane with KK-monopole:

(5|M5,KK)={x 0 x 5 x 6 x 7 x 8 x 9 x 0 A 1 A 2 A 3 z x 5 x 6 x 7 x 8 x 9 x 10 (5\vert M5, KK) = \left\{ \array{ x_0 & - & - & - & - & x_5 & x_6 & x_7 & x_8 & x_9 & - \\ x_0 & A_1 & A_2 & A_3 & z & x_5 & x_6 & x_7 & x_8 & x_9 & x_{10} } \right.

(BREJS 97 (14))

For more see at Half NS5-branes

D4-branes ending on D6-branes from M5-branes in MK6-branes:

Hashimoto 98, see also Smith 02 (245)

brane intersections/bound states/wrapped branes/polarized branes

S-duality\,bound states:




For M-branes:

Brane webs

Intersections of branes of equal dimension may form regular patterns known as brane webs. This applies notably in type IIB string theory where (p,q)-strings may form “string webs” (references below) and (p,q)5-branes may form “5-brane webs” (references further below)


  • Oleg Lunin, Brane webs and 1/4-BPS geometries, JHEP09 (2008) (arXiv:0802.0735)

String webs

Via tropical geometry:

  • Koushik Ray, String networks as tropical curves, JHEP 0809:098, 2008 (arXiv:0804.1870)

The lift to 11d supergravity/M-theory via membrane triple junctions is discussed in

  • Morten Krogh, Sangmin Lee, String Network from M-theory, Nucl. Phys. B516:241-254, 1998 (arXiv:hep-th/9712050)

  • P. Ramadevi, Supergravity Solution for Three-String Junction in M-Theory, JHEP 0006 (2000) 005 (arXiv:hep-th/9906247)

5-brane webs

  • Ofer Aharony, Amihay Hanany, section 3 of Branes, Superpotentials and Superconformal Fixed Points, Nucl.Phys.B504:239-271, 1997 (arXiv:hep-th/9704170)

  • Barak Kol, 5d Field Theories and M Theory, JHEP 9911 (1999) 026 (arXiv:hep-th/9705031)

  • Ofer Aharony, Amihay Hanany, Barak Kol, Webs of (p,q)(p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams, JHEP 9801:002,1998 (arXiv:hep-th/9710116)

  • Francesco Benini, Sergio Benvenuti, Yuji Tachikawa, Webs of five-branes and N=2N=2 superconformal field theories, JHEP 0909:052,2009 (arXiv:0906.0359)

  • Sung-Soo Kim, Masato Taki, Futoshi Yagi, Tao Probing the End of the World, Prog. Theor. Exp. Phys. 2015, 083B02 (arXiv:1504.03672)

  • Brice Bastian, Stefan Hohenegger, Five-Brane Webs and Highest Weight Representations (arXiv:1706.08750)

  • Justin Kaidi, (p,q)(p,q)-strings probing five-brane webs, J. High Energ. Phys. (2017) 2017: 87 (arXiv:1708.03404)

  • Michael Gutperle, Andrea Trivella, Christoph F. Uhlemann, Type IIB 7-branes in warped AdS 6AdS_6: partition functions, brane webs and probe limit, JHEP04(2018)135 (arXiv:1802.07274)

  • Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi, Dualities and 5-brane webs for 5d rank 2 SCFTs (arXiv:1806.10569)

Last revised on July 2, 2023 at 09:33:16. See the history of this page for a list of all contributions to it.