The vanishing volume of D = 4 superspace

Guillaume Bossard; P. S. Howe; K. S. Stelle; Pierre Vanhove

doi:10.1088/0264-9381/28/21/215005

The vanishing volume of D = 4 superspace

Guillaume Bossard
, P. S. Howe
, K. S. Stelle
, Pierre Vanhove

King's College London
Imperial College London
Kavli Institute for Theoretical Physics
Centro Brasileiro de Pesquisas Fisicas
Institut des Hautes Études Scientifiques
CEA/UVSQ/CNRS
CNRS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The volume of on-shell D = 4,N = 8 superspace is shown to vanish. Despite this, it is shown that there is a fully supersymmetric and duality-invariant candidate ∇⁸R⁴ counterterm corresponding to an anticipated seven-loop logarithmic divergence in D = 4. We construct this counterterm explicitly and also give the complete nonlinear extension of the 1/8-BPS ∇⁶R⁴ invariant. Similar results are derived for N = 8 5 and 6.

langue originale	Anglais
Numéro d'article	215005
journal	Classical and Quantum Gravity
Volume	28
Numéro de publication	21
Les DOIs	https://doi.org/10.1088/0264-9381/28/21/215005
état	Publié - 7 nov. 2011

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10.1088/0264-9381/28/21/215005

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title = "The vanishing volume of D = 4 superspace",

abstract = "The volume of on-shell D = 4,N = 8 superspace is shown to vanish. Despite this, it is shown that there is a fully supersymmetric and duality-invariant candidate ∇8R4 counterterm corresponding to an anticipated seven-loop logarithmic divergence in D = 4. We construct this counterterm explicitly and also give the complete nonlinear extension of the 1/8-BPS ∇6R4 invariant. Similar results are derived for N = 8 5 and 6.",

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AU - Bossard, Guillaume

AU - Howe, P. S.

AU - Stelle, K. S.

AU - Vanhove, Pierre

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N2 - The volume of on-shell D = 4,N = 8 superspace is shown to vanish. Despite this, it is shown that there is a fully supersymmetric and duality-invariant candidate ∇8R4 counterterm corresponding to an anticipated seven-loop logarithmic divergence in D = 4. We construct this counterterm explicitly and also give the complete nonlinear extension of the 1/8-BPS ∇6R4 invariant. Similar results are derived for N = 8 5 and 6.

AB - The volume of on-shell D = 4,N = 8 superspace is shown to vanish. Despite this, it is shown that there is a fully supersymmetric and duality-invariant candidate ∇8R4 counterterm corresponding to an anticipated seven-loop logarithmic divergence in D = 4. We construct this counterterm explicitly and also give the complete nonlinear extension of the 1/8-BPS ∇6R4 invariant. Similar results are derived for N = 8 5 and 6.

U2 - 10.1088/0264-9381/28/21/215005

DO - 10.1088/0264-9381/28/21/215005

M3 - Article

AN - SCOPUS:80054734426

SN - 0264-9381

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JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

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The vanishing volume of D = 4 superspace

Résumé

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