nLab string network




There are 1/41/4-BPS state solutions of type IIB supergravity which locally exhibit black branes in the shape of three (p i,q i)(p_i,q_i)-strings jointly intersecting. Globally many of such 3-string junctions may combine to form a more complicated network of black string configurations, hence called a string network (Sen 97).


M-Theory lift to membrane triple junctions

The lift to 11d supergravity/M-theory of 3-string junctions is supposed to be given by membrane triple junctions.

brane intersections/bound states/wrapped branes/polarized branes

S-duality\,bound states:



The concept goes back to

Via tropical geometry:

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

Relation to Lie algebras and Lie algebra representations:

Relation to the D=6 N=(2,0) SCFT on M5-branes:

  • Stefano Bolognesi, Kimyeong Lee, 1/41/4 BPS String Junctions and N3 Problem in 6-dim (2,0)(2,0) Superconformal Theories, Phys. Rev. D.84. 126018 (arXiv:1105.5073)

See also

  • Oleg Lunin, Brane webs and 1/4-BPS geometries, Journal of High Energy Physics, Volume 2008, JHEP09(2008) (arXiv:0802.0735)

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)

Last revised on November 27, 2019 at 20:51:36. See the history of this page for a list of all contributions to it.