nLab D6-D8-brane bound state




The special case of Dp-D(p+2)-brane bound state for D6-D8-brane bound states.


Flux density and Hanany Witten effect

See this section at Hanany-Witten effect.

Fuzzy funnel geometry

The fuzzy funnel/fuzzy 2-sphere noncommutative geometry of D6BOTd8D6\BOT d8-brane intersections, from the point of the of the D6-brane non-abelian DBI-action (Gaiotto-Tomasiello 14, Fazzi 17, p. 41-46):

graphics grabbed from Fazzi 17, Fig. 3.14, taken in turn from Gaiotto-Tomasiello 14, Figure 5

graphics grabbed from Gaiotto-Tomasiello 14

The s-rule

By the s-rule a supersymmetric configurations of D6-branes stretching between NS5-branes and D8-branes has at most one D6-brane ending on any D8-brane:

graphics grabbed from Fazzi 17

graphics grabbed from Gaiotto-Tomasiello 14

graphics grabbed from GKSTY 02

As QCD Monopoles in the Witten-Sakai-Sugimoto model

Generally Dp-D(p+2)-brane intersections geometrically engineer Yang-Mills monopoles in the worldvolume of the higher dimensional D(p+2)(p+2)-branes.

Specifically for p=6p = 6, i.e. for D6-D8-brane intersections, this fits with the Witten-Sakai-Sugimoto model geometrically engineering quantum chromodynamics, and then gives a geometric engineering of the Yang-Mills monopoles in actual QCD (HLPY 08, p. 16).

graphics from Sati-Schreiber 19c

Here we are showing

  1. the color D4-branes;

  2. the flavor D8-branes;


    1. the 5d Chern-Simons theory on their worldvolume

    2. the corresponding 4d WZW model on the boundary

    both exhibiting the meson fields

  3. the baryon D4-branes

    (see below at WSS – Baryons)

  4. the Yang-Mills monopole D6-branes

    (see at D6-D8-brane bound state)

  5. the NS5-branes.

brane intersections/bound states/wrapped branes/polarized branes

S-duality\,bound states:



As black brane solutions

On D6-D8-brane bound states as black brane-solutions in massive type IIA string theory:

With emphasis on charge quantization of the RR-field flux forms via bundle gerbes:

With emphases of the fuzzy funnel noncommutative geometry:

In view of AdS/CFT:

  • Fabio Apruzzi, Giuseppe Dibitetto, Luigi Tizzano, A new 6d fixed point from holography, JHEP 11 (2016) 126 (arxiv:1603.06576)

  • Nikolay Bobev, Giuseppe Dibitetto, Fridrik Freyr Gautason, Brecht Truijen, Holography, Brane Intersections and Six-dimensional SCFTs, JHEP 1702 (2017) 116 (arxiv:1612.06324)

AdS 3/CFT 2AdS_3/CFT_2 on D2/D4-D6/D8 branes

On black\;D6-D8-brane bound states in massive type IIA string theory, with defect D2-D4-brane bound states inside them realizing AdS3-CFT2 as defect field theory “inside” AdS7-CFT6:

See also

The T-duality to AdS2/CFT1:

Hanany-Witten effect

On the Hanany-Witten effect for NS5/D6/D8-branes:

In geometric engineering of monopoles

For transversal D6-D8-brane bound states with an eye towards describing Yang-Mills monopoles:

with an emphasis of half NS5-brane in type I' string theory:

with an emphasis on holographic QCD:

  • Deog Ki Hong, Ki-Myeong Lee, Cheonsoo Park, Ho-Ung Yee, Section V of: Holographic Monopole Catalysis of Baryon Decay, JHEP 0808:018, 2008 (arXiv:0804.1326)

For more see the references at Dp-D(p+2)-brane bound states.

Relation to Seiberg-Witten curves

On quantum Seiberg-Witten curves of E-string-theories in relation to D6-D8-brane bound states:

Last revised on January 8, 2024 at 08:08:50. See the history of this page for a list of all contributions to it.