nLab dilatino

Idea

By dilatino one refers to a superpartner of the dilaton.

Ambiguity of the nomenclature

In supergravity literature there is an ambiguity in the nomenclature relatively to the dilatino field.

• Part of the literature uses the name “dilatino” to mean the superpartner $\lambda_\alpha \coloneqq D_\alpha\phi$ of the scalar dilaton field $\phi$, which comes from the circular Kaluza-Klein compactification of the bosonic supervielbein given by $e^n = \phi(\mathrm{d}x^n+A)$ in a $n$-dimensional spacetime.

• Part of the literature uses it to mean, instead, the spinor which comes from the circular Kaluza-Klein compactification of the fermionic supervielbein (i.e. of the gravitino) given by $\psi^\alpha_{n\text{d}} = \psi^\alpha_{(n-1)\text{d}} + \chi^\alpha e^n$ in a $n$-dimensional spacetime. See for instance (DFGT08).

References

• Riccardo D'Auria, Pietro Fré, Pietro Grassi, Trigiante, Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds arXiv:0803.1703