Quantum consistency in supersymmetric theories with $R$-symmetry in curved space
| Autor: | An, Ok Song, Kang, Jin U, Kim, Jong Chol, Ko, Yong Hae |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2019)146 |
| Popis: | 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. Comment: 15 pages plus 2 appendices, published version in JHEP, minor changes, references added |
| Databáze: | arXiv |
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