nLab
D1-brane

Contents

Idea

The D-brane of dimension 1+11+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).

Black hole entropy

At low string coupling D1-brane/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).

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

branein supergravitycharged under gauge fieldhas worldvolume theory
black branesupergravityhigher gauge fieldSCFT
D-branetype IIRR-fieldsuper Yang-Mills theory
(D=2n)(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)(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-branetype I, II, heteroticcircle n-connection\,
string\,B2-field2d SCFT
NS5-brane\,B6-fieldlittle string theory
M-brane11D SuGra/M-theorycircle n-connection\,
M2-brane\,C3-fieldABJM theory, BLG model
M5-brane\,C6-field6d (2,0)-superconformal QFT
M9-brane/O9-planeheterotic string theory
M-wave
topological M2-branetopological M-theoryC3-field on G2-manifold
topological M5-brane\,C6-field on G2-manifold
solitons on M5-brane6d (2,0)-superconformal QFT
self-dual stringself-dual B-field
3-brane in 6d

References

Chapter 5.3 of

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

Revised on April 11, 2014 07:07:10 by Urs Schreiber (185.37.147.12)