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arXiv · 1812.10209

Super-Weyl Anomaly from Holography and Rigid Supersymmetry Algebra on Two-Sphere

Ok Song An·Yong Hae Ko·Sok-Hyon Won
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Abstract

Operators transform anomalously under the symmetry in the presence of quantum anomalies. We study this aspect of the super-Weyl anomaly in $\mathcal N=(1,1)$ superconformal field theories (SCFTs), in the context of AdS/CFT. In particular, we carry out holographic renormalization for $(1,1)$ pure AdS$_3$ supergravity that is supposed to be a gravity dual of the $\mathcal N=(1,1)$ SCFT, and derive holographic superconformal Ward identities with corresponding anomalies. We show that the obtained super-Weyl anomaly of the $\mathcal N=(1,1)$ SCFT induces a quantum correction term in the transformation law of the supercurrent under the rigid supersymmetry. We demonstrate that the correction term does not affect the $\mathcal N=(1,1)$ rigid supersymmetry algebra on two-sphere.

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Ok Song An, Yong Hae Ko, Sok-Hyon Won. 2018-12-26. Super-Weyl Anomaly from Holography and Rigid Supersymmetry Algebra on Two-Sphere. https://doi.org/10.1103/physrevd.99.106007

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