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...
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Abstract | 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. |
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AbstractList | 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. |
Author | Ok Song An Kang, Jin U Kim, Jong Chol Yong Hae Ko |
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Copyright | 2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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Title | Quantum consistency in supersymmetric theories with \(R\)-symmetry in curved space |
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