Published November 7, 2011 | Version v1
Journal article

The vanishing volume of D = 4 superspace

  • 1. Centre de Physique Theorique, Ecole Polytechnique, CNRS 91128 Palaiseau Cedex (France)
  • 2. Department of Mathematics, King's College, University of London Strand, London WC2R 2LS (United Kingdom)
  • 3. Theoretical Physics Group, Imperial College London, Prince Consort Road, London SW7 2AZ (United Kingdom)
  • 4. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106 (United States)

Description

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}=4,5 and 6.

Availability note (English)

Available from http://dx.doi.org/10.1088/0264-9381/28/21/215005

Additional details

Identifiers

DOI
10.1088/0264-9381/28/21/215005;
PII
S0264-9381(10)98317-4;

Publishing Information

Journal Title
Classical and Quantum Gravity
Journal Volume
28
Journal Issue
21
Journal Page Range
[24 p.]
ISSN
0264-9381
CODEN
CQGRDG

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43031446
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DUALITY; NONLINEAR PROBLEMS; SUPERSYMMETRY
Descriptors DEC
SYMMETRY