Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics comma complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorLuigi
    • CommentTimeMay 7th 2020

    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

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2020

    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).

    • CommentRowNumber3.
    • CommentAuthorLuigi
    • CommentTimeMay 7th 2020

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

    They definitely belong to the same se of supervielbein:

    ι x 9(e a ψ α)=ι x 9(e μ a(x,θ)dx μ+e β a(x,θ)dθ β ψ μ α(x,θ)dx μ+ψ β α(x,θ)dθ β)=(ϕ(x,θ)δ 9 a χ α(x,θ)) \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!

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2020

    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)