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D7-brane in nLab

Contents

Context

String theory

Ingredients

Critical string models

Extended objects

Topological strings

Backgrounds

Phenomenology

Contents

Idea

The D7-brane is the D-brane in type IIB string theory with worldvolume of dimension 7+17+1, hence of codimension 10−(7+1)=210 - (7+1) = 2. This is the prototypical defect brane.

In F-theory these are the degenration loci of the axio-dilaton elliptic fibration, where the discriminant Δ\Delta of the elliptic curve fibers vanishes and the fiber degenrates to the nodal curve (e.g. Sen 97, Blumenhagen 10, (11)).

Properties

Bound states

Relation to other branes

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\,\,
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)(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
D-brane for topological string\,
A-brane\,
B-brane\,
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
S-brane
SM2-brane,
membrane instanton
M5-brane instanton
D3-brane instanton
solitons on M5-brane6d (2,0)-superconformal QFT
self-dual stringself-dual B-field
3-brane in 6d

See also F-theory.

References

General

As a black brane the D7 is identified in

The Green-Schwarz sigma-model description of (p,q)(p,q)-7-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

In

  • P. Meessen, T. Ortin, An Sl(2,ℤ)Sl(2,\mathbb{Z}) Multiplet of Nine-Dimensional Type II Supergravity Theories (arXiv:hep-th/9806120)

it is argued that 7-branes in type II string theory form not just a doublet, but a triplet under S-duality.

In M-theory

A lift of D8-branes to M-theory M-branes, by generalized Scherk-Schwarz reduction, relating to D7-branes in F-theory, is proposed in:

Last revised on June 30, 2023 at 18:48:33. See the history of this page for a list of all contributions to it.