Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity

We argue that the observed UV finiteness of the 3-loop extended supergravities may be a manifestation of a hidden local superconformal symmetry of supergravity. We focus on the SU(2,2|4) dimensionless superconformal model. In Poincare gauge where the compensators are fixed to phi^2= 6 M_P^2 this mod...

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Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Kallosh, Renata, Van Proeyen, Antoine
Lenguaje:eng
Publicado: 2012
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.87.025004
http://cds.cern.ch/record/1475959
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author Ferrara, Sergio
Kallosh, Renata
Van Proeyen, Antoine
author_facet Ferrara, Sergio
Kallosh, Renata
Van Proeyen, Antoine
author_sort Ferrara, Sergio
collection CERN
description We argue that the observed UV finiteness of the 3-loop extended supergravities may be a manifestation of a hidden local superconformal symmetry of supergravity. We focus on the SU(2,2|4) dimensionless superconformal model. In Poincare gauge where the compensators are fixed to phi^2= 6 M_P^2 this model becomes a pure classical N=4 Einstein supergravity. We argue that in N=4 the higher-derivative superconformal invariants like phi^{-4}W^2 \bar W^2 and the consistent local anomaly delta (ln phi W^2) are not available. This conjecture on hidden local N=4 superconformal symmetry of Poincare supergravity may be supported by subsequent loop computations.
id cern-1475959
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2012
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spelling cern-14759592023-03-14T16:33:28Zdoi:10.1103/PhysRevD.87.025004http://cds.cern.ch/record/1475959engFerrara, SergioKallosh, RenataVan Proeyen, AntoineConjecture on Hidden Superconformal Symmetry of N=4 SupergravityParticle Physics - TheoryWe argue that the observed UV finiteness of the 3-loop extended supergravities may be a manifestation of a hidden local superconformal symmetry of supergravity. We focus on the SU(2,2|4) dimensionless superconformal model. In Poincare gauge where the compensators are fixed to phi^2= 6 M_P^2 this model becomes a pure classical N=4 Einstein supergravity. We argue that in N=4 the higher-derivative superconformal invariants like phi^{-4}W^2 \bar W^2 and the consistent local anomaly delta (ln phi W^2) are not available. This conjecture on hidden local N=4 superconformal symmetry of Poincare supergravity may be supported by subsequent loop computations.We argue that the observed UV finiteness of the 3-loop extended supergravities may be a manifestation of a hidden local superconformal symmetry of supergravity. We focus on the SU(2,2|4) dimensionless superconformal model. In the Poincaré gauge where the compensators are fixed to ϕ2=6MP2 this model becomes a pure classical N=4 Einstein supergravity. We argue that in N=4 the higher-derivative superconformal invariants like ϕ-4W2W¯2 and the consistent local anomaly δ(ln⁡ϕW2) are not available. This conjecture on hidden local N=4 superconformal symmetry of Poincaré supergravity may be supported by subsequent loop computations.We argue that the observed UV finiteness of the 3-loop extended supergravities may be a manifestation of a hidden local superconformal symmetry of supergravity. We focus on the SU(2,2|4) dimensionless superconformal model. In Poincare gauge where the compensators are fixed to phi^2= 6 M_P^2 this model becomes a pure classical N=4 Einstein supergravity. We argue that in N=4 the higher-derivative superconformal invariants like phi^{-4}W^2 \bar W^2 and the consistent local anomaly delta (ln phi W^2) are not available. This conjecture on hidden local N=4 superconformal symmetry of Poincare supergravity may be supported by subsequent loop computations.arXiv:1209.0418CERN-PH-TH-2012-260CERN-PH-TH-2012-260oai:cds.cern.ch:14759592012-09-04
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Kallosh, Renata
Van Proeyen, Antoine
Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
title Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
title_full Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
title_fullStr Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
title_full_unstemmed Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
title_short Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
title_sort conjecture on hidden superconformal symmetry of n=4 supergravity
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.87.025004
http://cds.cern.ch/record/1475959
work_keys_str_mv AT ferrarasergio conjectureonhiddensuperconformalsymmetryofn4supergravity
AT kalloshrenata conjectureonhiddensuperconformalsymmetryofn4supergravity
AT vanproeyenantoine conjectureonhiddensuperconformalsymmetryofn4supergravity

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