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Dp-D(p+4)-brane bound state

Contents

Contents

Idea

bound states of Dp-branes with D(p+4)-branes.

Properties

As Yang-Mills instantons in the Chan-Paton gauge field

Due to the higher WZW term D p+4C p+1FF\propto \int_{D_{p+4}} C_{p+1} \wedge \langle F \wedge F \rangle in the Green-Schwarz sigma model for D(p+4)-branes, Yang-Mills instantons in the Chan-Paton gauge field on D(p+4)D (p+4)-branes are equivalently Dp-D(p+4)-brane bound states (see e.g. Polchinski 96, 5.4, Tong 05, 1.4).

Examples

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


brane intersections/bound states/wrapped branes

S-duality\,bound states:

intersecting\,M-branes:

References

Relation to instantons

The argument that Yang-Mills instantons in the Chan-Paton gauge field on a D(p+4)-brane are equivalent to Dp-D(p+4) brane bound states goes back to

Review is in:

D0-D4-brane bound states

Discussion specifically of D0-D4-brane bound states:

with emphasis to the resulting configuration spaces of points, as in

D1-D5-brane bound states

Discussion specifically of D1-D5-brane bound states

D4-D8-brane bound states

Discussion specifically of D4-D8-brane bound states:

In the Witten-Sakai-Sugimoto model geometrically engineering QCD, where the D4-branes get interpreted as baryons:

M5-MO9 brane bound states

Discussion specifically of M5-MO9 brane bound states:

Discussion as Yang-Mills instantons (“small instantons”):

Discussion as half M5-branes:

In solid state physics

Relation of Yang-Mills monopoles as Dp/D(p+2)-brane intersections and Yang-Mills instantons as Dp/D(p+4)-brane intersections to the K-theory classification of topological phases of matter via AdS/CFT duality in solid state physics:

  • Koji Hashimoto, Taro Kimura, Band spectrum is D-brane, Progress of Theoretical and Experimental Physics, Volume 2016, Issue 1 (arXiv:1509.04676)

  • Charlotte Kristjansen, Gordon W. Semenoff, The D3-probe-D7 brane holographic fractional topological insulator, JHEP10 (2016) 079 (arXiv:1604.08548)

Last revised on February 18, 2020 at 11:19:08. See the history of this page for a list of all contributions to it.