nLab D1-brane

Idea

The D-brane of dimension $1+1$ in type IIB string theory. Also called the D-string, to be distinguished from the fundamental string.

Properties

S-duality with the fundamental string

Under S-duality the D1-brane mixes with the fundamental string to form the (p,q)-string.

A formalization of this in terms of the homotopy theory of the super L-infinity algebras which constitute the respective extended super spacetimes is in (FSS 13).

Bound states

bound states/brane intersections involving D1-branes:

• D1-D3 brane bound state

• D1-D5 brane bound state

• D1-D7 brane bound state

Black hole entropy

At low string coupling D1-D5 brane bound states are described by 2d CFT, which is well understood. After passage to the corresponding strongly coupled black brane configurations in type IIB supergravity, which are black holes in the given compactification, the entropy of these 2d CFTs matches the Bekenstein-Hawking entropy of these black holes. See at black holes in string theory for more on this.

This is parts of the AdS/CFT correspondence. See (AGMOO, chapter 5).

Related concepts

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

brane	in supergravity	charged 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	$\,$	$\,$
D(-2)-brane	$\,$	$\,$
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
S-brane
SM2-brane, membrane instanton
M5-brane instanton
D3-brane instanton
solitons on M5-brane	6d (2,0)-superconformal QFT
self-dual string		self-dual B-field
3-brane in 6d

References

The Green-Schwarz sigma-model description of $(p,q)$-1-branes via cocycles on extended super Minkowski spacetimes is obtained in

• Makoto Sakaguchi, section 2 of IIB-Branes and New Spacetime Superalgebras, JHEP 0004 (2000) 019 (arXiv:hep-th/9909143)

See also

• Ofer Aharony, S.S. Gubser, Juan Maldacena, H. Ooguri, Y. Oz, chapter 5.3 of Large N Field Theories, String Theory and Gravity (arXiv:hep-th/9905111)

Formulation of the S-duality with the fundamental string in terms of the homotopy theory of super L-infinity algebras of the respective extended super spacetimes is in section 4.3 of

• Domenico Fiorenza, Hisham Sati, Urs Schreiber, Super Lie n-algebra extensions, higher WZW models and super p-branes with tensor multiplet fields (arXiv:1308.5264)