Quantum consistency in supersymmetric theories with \(R\)-symmetry in curved space

We discuss consistency at the quantum level in the rigid \(\mathcal N=1\) supersymmetric field theories with a \(U(1)_R\) symmetry in four-dimensional curved space which are formulated via coupling to the new-minimal supergravity background fields. By analyzing correlation functions of the current o...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Ok Song An, Kang, Jin U, Kim, Jong Chol, Yong Hae Ko
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.05.2019
Subjects
Consistency
Correlation analysis
Supergravity
Supersymmetry
Symmetry
Online AccessGet full text

Cover

More Information
Summary:We discuss consistency at the quantum level in the rigid \(\mathcal N=1\) supersymmetric field theories with a \(U(1)_R\) symmetry in four-dimensional curved space which are formulated via coupling to the new-minimal supergravity background fields. By analyzing correlation functions of the current operators in the \(\mathcal{R}\)-multiplet, we show that the quantum consistency with the (unbroken) supersymmetry requires the \(U(1)_R\) anomaly coefficient, which depends only on the field content of the theory, to vanish. This consistency condition is obtained under the assumption that the supercurrent Ward identity is non-anomalous and that the vacuum is supersymmetric.
ISSN:2331-8422
DOI:10.48550/arxiv.1902.04525