Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry

For SCFTs with an SU(2) R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic conformal blocks. This is achieved by using the superconformal Cas...

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Detalles Bibliográficos
Autores: Fuchs, Michael, Lawrie, Craig, Baume, Florent
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/717858
Acceso en línea:http://hdl.handle.net/10486/717858
https://dx.doi.org/10.1007/JHEP11(2019)164
Access Level:acceso abierto
Palabra clave:Conformal Field Theory
extended supersymmetry
Física
Descripción
Sumario:For SCFTs with an SU(2) R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic conformal blocks. This is achieved by using the superconformal Casimir equation and the superconformal Ward identity to fix the coefficients of the bosonic blocks uniquely in a dimension-independent way. In addition we find that many of the resulting coefficients are related through a web of linear transformations of the conformal data