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D7-brane

Context

String theory

Ingredients

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Critical string models

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Extended objects

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Topological strings

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Backgrounds

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Phenomenology

Contents

Idea

The D-brane in type IIB string theory of dimension 7+17+1.

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)).

Relation to other branes

The D7-branes arise from the D6-branes in type IIA string theory under T-duality.

from to F-branes: , and

on S A 1×S B 1S^1_A \times S^1_B- on S A 1S^1_A on S B 1S^1_B on - fibration on
S A 1S_A^1 \mapsto\mapsto\mapsto
S B 1S_B^1\mapsto\mapsto
pp times around S A 1S_A^1 and qq times around S B 1S_B^1\mapstopp and qq \mapsto
S A 1S_A^1 \mapsto\mapsto
S B 1S_B^1\mapsto\mapsto\mapsto
pp times around S A 1S_A^1 and qq times around S B 1S_B^1\mapstopp and qq \mapsto
S A 1×S B 1S_A^1 \times S_B^1\mapsto\mapsto
/ (degeneration locus of S A 1S^1_A-circle fibration, of S A 1×S B 1S^1_A \times S^1_B )\mapsto\mapstoA-type cycle degenertion locus of ADE 2Cycle (Sen 97, section 2)-
/\mapsto with \mapsto with D-type cycle degenertion locus of ADE 2Cycle (Sen 97, section 3)-
exceptional \mapsto\mapstoexceptional ADE-singularity of elliptic fibration\mapsto-, -, -

(e.g. Johnson 97, Blumenhagen 10)

Table of appearing in / (for classification see at ).

in d under has theory
(D=2n)(D = 2n)\,\,
\,\,
\,\,\,
\,\, with
\,\,
\,\,
(D=2n+1)(D = 2n+1)\,\,
\,\,\,
\,\,2d with
\,\,
\,\,\,
\,\,\,
\,\,\,
\,\,\,
()()
\,
\,
\,
D-brane for \,
\,
\,
/\,
\,,
\,
/
on
\, on
on

See also F-theory.

References

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,)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.

Last revised on May 16, 2018 at 07:16:39. See the history of this page for a list of all contributions to it.