nLab D0-D2 brane bound state

Idea

A bound state/brane intersection of D0-branes with D2-branes. Special case of Dp-D(p+2) brane bound states.

Properties

Myers effect

What is called the Myers effect (Myers 99) in string theory is the claimed phenomenon that given $N$ D0-branes in a constant background RR field $F_4$ (the field strength associated with D2-brane charge) with, crucially, nonabelian effects included, then these D0-branes expand into a fuzzy 2-sphere which represents a spherical D0-D2 brane bound state of a D2-brane and $N$ D0-branes (Myers 99, section 6, see p. 22, Myers 03, section 4).

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

General

(…)

Myers effect

The effect now known as the “Myers effect” in D-brane theory was first described in:

• Robert Myers, Dielectric-Branes, JHEP 9912 (1999) 022 (arXiv:hep-th/9910053)

Review includes

• Robert Myers, Nonabelian Phenomena on D-branes, Class.Quant.Grav. 20 (2003) S347-S372 (arXiv:hep-th/0303072)

See also

• Pedro J. Silva, Quantum Myers effect and its supergravity dual for D0/D4 systems (arXiv:hep-th/0109112)

• Yoshifumi Hyakutake, Gravitational Dielectric Effect and Myers Effect, Phys.Rev.D71:046007,2005 (arXiv:hep-th/0401026)

• Yoshinao Sato, Dissolving D0-brane into D2-brane with background B-field, JHEP 0512 (2005) 032 (arXiv:hep-th/0505045)

In the BMN matrix model

On solutions of the BMN matrix model in relation to the Myers effect and D0-D2 brane bound states:

• Hai Lin, The Supergravity Dual of the BMN Matrix Model, JHEP 0412:001, 2004 (arXiv:hep-th/0407250)