Central Charge Bounds in 4D Conformal Field Theory

We derive model-independent lower bounds on the stress tensor central charge C_T in terms of the operator content of a 4-dimensional Conformal Field Theory. More precisely, C_T is bounded from below by a universal function of the dimensions of the lowest and second-lowest scalars present in the CFT....

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Detalles Bibliográficos
Autores principales: Rattazzi, Riccardo, Rychkov, Slava, Vichi, Alessandro
Formato: info:eu-repo/semantics/article
Lenguaje:eng
Publicado: 2010
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/1291833
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author Rattazzi, Riccardo
Rychkov, Slava
Vichi, Alessandro
author_facet Rattazzi, Riccardo
Rychkov, Slava
Vichi, Alessandro
author_sort Rattazzi, Riccardo
collection CERN
description We derive model-independent lower bounds on the stress tensor central charge C_T in terms of the operator content of a 4-dimensional Conformal Field Theory. More precisely, C_T is bounded from below by a universal function of the dimensions of the lowest and second-lowest scalars present in the CFT. The method uses the crossing symmetry constraint of the 4-point function, analyzed by means of the conformal block decomposition.
format info:eu-repo/semantics/article
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institution Organización Europea para la Investigación Nuclear
language eng
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spelling cern-12918332019-09-30T06:29:59Z http://cds.cern.ch/record/1291833 eng Rattazzi, Riccardo Rychkov, Slava Vichi, Alessandro Central Charge Bounds in 4D Conformal Field Theory Particle Physics - Theory We derive model-independent lower bounds on the stress tensor central charge C_T in terms of the operator content of a 4-dimensional Conformal Field Theory. More precisely, C_T is bounded from below by a universal function of the dimensions of the lowest and second-lowest scalars present in the CFT. The method uses the crossing symmetry constraint of the 4-point function, analyzed by means of the conformal block decomposition. info:eu-repo/grantAgreement/EC/FP7/237920 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1291833 2010-09-15
spellingShingle Particle Physics - Theory
Rattazzi, Riccardo
Rychkov, Slava
Vichi, Alessandro
Central Charge Bounds in 4D Conformal Field Theory
title Central Charge Bounds in 4D Conformal Field Theory
title_full Central Charge Bounds in 4D Conformal Field Theory
title_fullStr Central Charge Bounds in 4D Conformal Field Theory
title_full_unstemmed Central Charge Bounds in 4D Conformal Field Theory
title_short Central Charge Bounds in 4D Conformal Field Theory
title_sort central charge bounds in 4d conformal field theory
topic Particle Physics - Theory
url http://cds.cern.ch/record/1291833
http://cds.cern.ch/record/1291833
work_keys_str_mv AT rattazziriccardo centralchargeboundsin4dconformalfieldtheory
AT rychkovslava centralchargeboundsin4dconformalfieldtheory
AT vichialessandro centralchargeboundsin4dconformalfieldtheory

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