nLab
D0-brane
Context
String theory
Ingredients Critical string models Extended objects Topological strings Backgrounds Phenomenology
Contents
Idea
The D-brane of dimension $0+1$ in type IIA string theory .

Properties
The worldline theory of a collection of D0-branes is supposed to be described by the BFSS matrix model .

Properties
Nonperturbative dynamics and M-theory
The non-perturbative limit of type IIA superstring theory is supposed to be M-theory compactified on a circle.

The degree-2 RR-field that the D0-brane is charged under, with local potential 1-form $A_1$ may be understood as the KK-field induced by this compactification, hence as one part of the field of gravity in 11-dimensional supergravity .

Under the duality between M-theory and type IIA string theory the M-wave becomes the black D0-brane under double dimensional reduction (Bergshoeff-Townsend 96 ).

One aspect of the M-theory conjecture is that type IIA string theory with a condensate of D0-branes behaves like a 10-dimensional theory that develops a further circular dimension of radius scaling with the density of D0-branes . (Banks-Fischler-Shenker-Susskind 97 , Polchinski 99 ). See also (FSS 13, section 4.2 ).

Relation to other branes
The electric-magnetic dual of the D0 is the D6-brane

electric-magnetic duality of D-branes /RR-fields in type II string theory :

Table of branes appearing in supergravity /string theory (for classification see at brane scan ).

brane in supergravity charge d under gauge field has worldvolume theory black brane supergravity higher gauge field SCFT
D-brane type II RR-field super Yang-Mills theory
$(D = 2n)$ type IIA $\,$ $\,$
D0-brane $\,$ $\,$ BFSS matrix model
D2-brane $\,$ $\,$ $\,$
D4-brane $\,$ $\,$ D=5 super Yang-Mills theory with Khovanov homology observables
D6-brane $\,$ $\,$ D=7 super Yang-Mills theory
D8-brane $\,$ $\,$
$(D = 2n+1)$ type IIB $\,$ $\,$
D(-1)-brane $\,$ $\,$ $\,$
D1-brane $\,$ $\,$ 2d CFT with BH entropy
D3-brane $\,$ $\,$ N=4 D=4 super Yang-Mills theory
D5-brane $\,$ $\,$ $\,$
D7-brane $\,$ $\,$ $\,$
D9-brane $\,$ $\,$ $\,$
(p,q)-string $\,$ $\,$ $\,$
(D25-brane ) (bosonic string theory )
NS-brane type I, II, heterotic circle n-connection $\,$
string $\,$ B2-field 2d SCFT
NS5-brane $\,$ B6-field little string theory
D-brane for topological string $\,$
A-brane $\,$
B-brane $\,$
M-brane 11D SuGra /M-theory circle n-connection $\,$
M2-brane $\,$ C3-field ABJM theory , BLG model
M5-brane $\,$ C6-field 6d (2,0)-superconformal QFT
M9-brane /O9-plane heterotic string theory
M-wave
topological M2-brane topological M-theory C3-field on G2-manifold
topological M5-brane $\,$ C6-field on G2-manifold
solitons on M5-brane 6d (2,0)-superconformal QFT
self-dual string self-dual B-field
3-brane in 6d

References
As solitonic branes
The worldline theory of solitonic interacting D0-branes is discussed in

based on discussion of bound states of $N$ D0-branes in

As fundamental branes
Discussion as fundamental branes via Green-Schwarz sigma-models and super L-infinity algebras is

Last revised on May 2, 2018 at 09:06:45.
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