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 .

The D0-brane itself comes from the M-wave in 11-dimensional supergravity .

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 ).

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 $\,$ $\,$
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
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
The worldline theory of interacting D0-branes is discussed in

Discussion via Green-Schwarz sigma-models and super L-infinity algebras is in section 4.2 of