nLab D5-D9-brane bound state

Idea

A bound state of D5-branes and D9-branes, a special case of Dp-D(p+4)-brane bound states.

Properties

Relation to small instantons

Under duality between heterotic and type I string theory $D5-D9$ brane bound states translate to small instantons in heterotic string theory given by wrapped NS5-branes, or rather wrapped M5-branes in heterotic M-theory (Witten 96, Gimon-Polchinski 96)

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

• Edward Witten, Small Instantons in String Theory, Nucl. Phys. B460:541-559, 1996 (arXiv:hep-th/9511030)

• Eric Gimon, Joseph Polchinski, Consistency Conditions for Orientifolds and D-Manifolds, Phys. Rev. D54:1667-1676, 1996 (arxiv:hep-th/9601038)