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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	215005
Journal	Classical and Quantum Gravity
Volume	28
Issue number	21
DOIs	https://doi.org/10.1088/0264-9381/28/21/215005
Publication status	Published - 7 Nov 2011

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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.",

author = "Guillaume Bossard and Howe, \{P. S.\} and Stelle, \{K. S.\} and Pierre Vanhove",

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AU - Bossard, Guillaume

AU - Howe, P. S.

AU - Stelle, K. S.

AU - Vanhove, Pierre

PY - 2011/11/7

Y1 - 2011/11/7

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

VL - 28

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 21

M1 - 215005

ER -

The vanishing volume of D = 4 superspace

Abstract

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