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1. • CommentRowNumber1.
   • CommentAuthorLuigi
   • CommentTimeMay 7th 2020
   • PermaLink
   Author: Luigi
   Format: MarkdownItexHello, I added some words about an ambiguity I found in the literature about the name "dilatino". If I am wrong, I'd be thankful to the one who makes me notice the mistake! <a href="https://ncatlab.org/nlab/revision/diff/dilatino/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/dilatino/2">v2</a>, <a href="https://ncatlab.org/nlab/show/dilatino">current</a>

   Hello, I added some words about an ambiguity I found in the literature about the name “dilatino”. If I am wrong, I’d be thankful to the one who makes me notice the mistake!

   diff, v2, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 7th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexHm, but in both cases it's the odd component of the metric in the compactified direction. Seems more a difference in formalism (super-fields on the one hand, super moving frames on the other).

   Hm, but in both cases it’s the odd component of the metric in the compactified direction. Seems more a difference in formalism (super-fields on the one hand, super moving frames on the other).

3. • CommentRowNumber3.
   • CommentAuthorLuigi
   • CommentTimeMay 7th 2020
   • PermaLink
   Author: Luigi
   Format: MarkdownItexIf they are the same thing, it's a good news They definitely belong to the same se of supervielbein: $$ \iota_{\frac{\partial}{\partial x^9}}\begin{pmatrix}e^a \\\psi^\alpha \end{pmatrix} = \iota_{\frac{\partial}{\partial x^9}}\begin{pmatrix}e^a_\mu(x,\theta)dx^\mu + e^a_\beta(x,\theta)d\theta^\beta \\\psi^\alpha_\mu(x,\theta)dx^\mu + \psi^\alpha_\beta(x,\theta)d\theta^\beta \end{pmatrix} = \begin{pmatrix}\phi(x,\theta)\, \delta^a_{\;\,9} \\\chi^\alpha(x,\theta) \end{pmatrix} $$ How can I show the relation between the two notions? Thanks!

   If they are the same thing, it’s a good news

   They definitely belong to the same se of supervielbein:

   $$\iota_{\frac{\partial}{\partial x^9}}\begin{pmatrix}e^a \\\psi^\alpha \end{pmatrix} = \iota_{\frac{\partial}{\partial x^9}}\begin{pmatrix}e^a_\mu(x,\theta)dx^\mu + e^a_\beta(x,\theta)d\theta^\beta \\\psi^\alpha_\mu(x,\theta)dx^\mu + \psi^\alpha_\beta(x,\theta)d\theta^\beta \end{pmatrix} = \begin{pmatrix}\phi(x,\theta)\, \delta^a_{\;\,9} \\\chi^\alpha(x,\theta) \end{pmatrix}$$

   How can I show the relation between the two notions? Thanks!

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMay 7th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexSo I suppose you are looking for the full derivation of the type IIA superfields from the 11d sugra supervielbein, by KK-compactification, showing how the type IIA dilatino field originates from that odd component of the 11d supervielbein? One account that does this is * Huq, Namazie, _Kaluza-Klein Supergravity in Ten-dimensions_, Class.Quant.Grav. 2 (1985) 293 1983 ([spire:196711](https://inspirehep.net/literature/196711))

   So I suppose you are looking for the full derivation of the type IIA superfields from the 11d sugra supervielbein, by KK-compactification, showing how the type IIA dilatino field originates from that odd component of the 11d supervielbein?

   One account that does this is

   • Huq, Namazie, Kaluza-Klein Supergravity in Ten-dimensions, Class.Quant.Grav. 2 (1985) 293 1983 (spire:196711)