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The D-brane in type IIB string theory of dimension $7+1$.
In F-theory these are the degenration loci of the axio-dilaton elliptic fibration, where the discriminant $\Delta$ of the elliptic curve fibers vanishes and the fiber degenrates to the nodal curve (e.g. Sen 97, Blumenhagen 10, (11)).
The D7-branes arise from the D6-branes in type IIA string theory under T-duality.
from to F-branes: , and
on $S^1_A \times S^1_B$- | on $S^1_A$ | on $S^1_B$ | on - fibration | on | |||
---|---|---|---|---|---|---|---|
$S_A^1$ | $\mapsto$ | $\mapsto$ | $\mapsto$ | ||||
$S_B^1$ | $\mapsto$ | $\mapsto$ | |||||
$p$ times around $S_A^1$ and $q$ times around $S_B^1$ | $\mapsto$ | $p$ and $q$ | $\mapsto$ | ||||
$S_A^1$ | $\mapsto$ | $\mapsto$ | |||||
$S_B^1$ | $\mapsto$ | $\mapsto$ | $\mapsto$ | ||||
$p$ times around $S_A^1$ and $q$ times around $S_B^1$ | $\mapsto$ | $p$ and $q$ | $\mapsto$ | ||||
$S_A^1 \times S_B^1$ | $\mapsto$ | $\mapsto$ | |||||
/ (degeneration locus of $S^1_A$-circle fibration, of $S^1_A \times S^1_B$ ) | $\mapsto$ | $\mapsto$ | A-type cycle degenertion locus of (Sen 97, section 2) | - | |||
/ | $\mapsto$ | with | $\mapsto$ | with | D-type cycle degenertion locus of (Sen 97, section 3) | - | |
exceptional | $\mapsto$ | $\mapsto$ | exceptional 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 | |
---|---|---|---|
$(D = 2n)$ | $\,$ | $\,$ | |
$\,$ | $\,$ | ||
$\,$ | $\,$ | $\,$ | |
$\,$ | $\,$ | with | |
$\,$ | $\,$ | ||
$\,$ | $\,$ | ||
$(D = 2n+1)$ | $\,$ | $\,$ | |
$\,$ | $\,$ | $\,$ | |
$\,$ | $\,$ | 2d with | |
$\,$ | $\,$ | ||
$\,$ | $\,$ | $\,$ | |
$\,$ | $\,$ | $\,$ | |
$\,$ | $\,$ | $\,$ | |
$\,$ | $\,$ | $\,$ | |
() | () | ||
$\,$ | |||
$\,$ | |||
$\,$ | |||
D-brane for | $\,$ | ||
$\,$ | |||
$\,$ | |||
/ | $\,$ | ||
$\,$ | , | ||
$\,$ | |||
/ | |||
on | |||
$\,$ | on | ||
on | |||
See also F-theory.
As a black brane the D7 is identified in
The Green-Schwarz sigma-model description of $(p,q)$-7-branes via cocycles on extended super Minkowski spacetimes is obtained in
See also
Oliver DeWolfe, Tamas Hauer, Amer Iqbal, Barton Zwiebach, Uncovering Infinite Symmetries on [p,q] 7-branes: Kac-Moody Algebras and Beyond (arXiv:hep-th/9812209)
Ashoke Sen, Orientifold Limit of F-theory Vacua (arXiv:hep-th/9702165)
Blumenhagen, Basics of F-theory from the Type IIB Perspective (arXiv:1002.2836)
In
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.