Superforms in six-dimensional superspace

Cesar Arias, William D. Linch, Alexander K. Ridgway

Resultado de la investigación: Article

9 Citas (Scopus)

Resumen

Abstract: We investigate the complex of differential forms in curved, six-dimensional, N = (1,0) superspace. The superconformal group acts on this complex by super-Weyl transformations. An ambi-twistor-like representation of a second conformal group arises on a pure spinor subspace of the cotangent space. The p-forms are defined by super-Weyl-covariant tensor fields on this pure spinor subspace. The on-shell dynamics of such fields is superconformal. We construct the superspace de Rham complex by successively obstructing the closure of forms. We then extend the analysis to composite forms obtained by wedging together forms of lower degree. Finally, we comment on applications to integration in curved superspace and propose a superspace formulation of the abelian limit of the nonabelian tensor hierarchy of N = (1, 0) superconformal models.

Idioma originalEnglish
Número de artículo16
PublicaciónJournal of High Energy Physics
Volumen2016
N.º5
DOI
EstadoPublished - 1 may 2016

Huella dactilar

tensors
closures
hierarchies
formulations
composite materials

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

Arias, Cesar ; Linch, William D. ; Ridgway, Alexander K. / Superforms in six-dimensional superspace. En: Journal of High Energy Physics. 2016 ; Vol. 2016, N.º 5.
@article{6a7fc4d392bd439fbb1eaa05227b21ab,
title = "Superforms in six-dimensional superspace",
abstract = "Abstract: We investigate the complex of differential forms in curved, six-dimensional, N = (1,0) superspace. The superconformal group acts on this complex by super-Weyl transformations. An ambi-twistor-like representation of a second conformal group arises on a pure spinor subspace of the cotangent space. The p-forms are defined by super-Weyl-covariant tensor fields on this pure spinor subspace. The on-shell dynamics of such fields is superconformal. We construct the superspace de Rham complex by successively obstructing the closure of forms. We then extend the analysis to composite forms obtained by wedging together forms of lower degree. Finally, we comment on applications to integration in curved superspace and propose a superspace formulation of the abelian limit of the nonabelian tensor hierarchy of N = (1, 0) superconformal models.",
keywords = "Differential and Algebraic Geometry, Extended Supersymmetry, Supergravity Models, Superspaces",
author = "Cesar Arias and Linch, {William D.} and Ridgway, {Alexander K.}",
year = "2016",
month = "5",
day = "1",
doi = "10.1007/JHEP05(2016)016",
language = "English",
volume = "2016",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "5",

}

Superforms in six-dimensional superspace. / Arias, Cesar; Linch, William D.; Ridgway, Alexander K.

En: Journal of High Energy Physics, Vol. 2016, N.º 5, 16, 01.05.2016.

Resultado de la investigación: Article

TY - JOUR

T1 - Superforms in six-dimensional superspace

AU - Arias, Cesar

AU - Linch, William D.

AU - Ridgway, Alexander K.

PY - 2016/5/1

Y1 - 2016/5/1

N2 - Abstract: We investigate the complex of differential forms in curved, six-dimensional, N = (1,0) superspace. The superconformal group acts on this complex by super-Weyl transformations. An ambi-twistor-like representation of a second conformal group arises on a pure spinor subspace of the cotangent space. The p-forms are defined by super-Weyl-covariant tensor fields on this pure spinor subspace. The on-shell dynamics of such fields is superconformal. We construct the superspace de Rham complex by successively obstructing the closure of forms. We then extend the analysis to composite forms obtained by wedging together forms of lower degree. Finally, we comment on applications to integration in curved superspace and propose a superspace formulation of the abelian limit of the nonabelian tensor hierarchy of N = (1, 0) superconformal models.

AB - Abstract: We investigate the complex of differential forms in curved, six-dimensional, N = (1,0) superspace. The superconformal group acts on this complex by super-Weyl transformations. An ambi-twistor-like representation of a second conformal group arises on a pure spinor subspace of the cotangent space. The p-forms are defined by super-Weyl-covariant tensor fields on this pure spinor subspace. The on-shell dynamics of such fields is superconformal. We construct the superspace de Rham complex by successively obstructing the closure of forms. We then extend the analysis to composite forms obtained by wedging together forms of lower degree. Finally, we comment on applications to integration in curved superspace and propose a superspace formulation of the abelian limit of the nonabelian tensor hierarchy of N = (1, 0) superconformal models.

KW - Differential and Algebraic Geometry

KW - Extended Supersymmetry

KW - Supergravity Models

KW - Superspaces

UR - http://www.scopus.com/inward/record.url?scp=84964921009&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2016)016

DO - 10.1007/JHEP05(2016)016

M3 - Article

AN - SCOPUS:84964921009

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 5

M1 - 16

ER -