nLab D4-D6 brane bound state

Idea

A bound state/brane intersection of D4-branes and D6-branes. The special case $p=4$ of Dp-D(p+2)-brane bound states.

Properties

s-Rule

By the s-rule a supersymmetric configurations of D4-branes stretching between NS5-branes and D6-branes has at most one D4-brane ending on any D6-brane:

graphics grabbed from Fazzi 17

Related concepts

brane intersections/bound states/wrapped branes/polarized branes

• D-branes and anti D-branes form bound states by tachyon condensation, thought to imply the classification of D-brane charge by K-theory

• intersecting D-branes/fuzzy funnels:

  • Dp-D(p+2)-brane bound state and Yang-Mills monopoles

    • D0-D2 brane bound state

    • D1-D3 brane bound state

    • D2-D4 brane bound state

    • D3-D5 brane bound state

    • D4-D6 brane bound state

    • D6-D8-brane bound state

  • Dp-D(p+4)-brane bound state and Yang-Mills instantons

    • D0-D4 brane bound state

    • D1-D5 brane bound state

    • D2-D6 brane bound state

    • D3-D7 brane bound state

    • D4-D8 brane bound state

    • D5-D9 brane bound state

      small instanton

• Dp-D(p+6) brane bound state

  • D0-D6 brane bound state

  • D1-D7 brane bound state

  • D2-D8 brane bound state

• NS5-D4-D2 bound states

• Hanany-Witten effect

S-duality$\,$bound states:

• (p,q)-string

• (p,q)5-branes

• string network

• 5-brane web

intersecting$\,$M-branes:

• M5-MO9 brane bound state

• M2-M5 brane bound state

  • M-string, E-string

• membrane triple junction

References

With emphasis on the s-rule:

• Hirosi Ooguri, Cumrun Vafa, Geometry of $N = 1$ Dualities in Four Dimensions, Nucl. Phys. B 500:62-74, 1997 (arXiv:hep-th/9702180)

• Kentaro Hori, Hirosi Ooguri, Yaron Oz, Section 3 of: Strong Coupling Dynamics of Four-Dimensional N=1 Gauge Theories from M Theory Fivebrane, Adv. Theor. Math. Phys.1:1-52, 1998 (arXiv:hep-th/9706082)

• Marco Fazzi, around Figure 3.5 in: Higher-dimensional field theories from type II supergravity (arxiv:1712.04447)