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arXiv · 1804.04155

The Weyl Anomaly from the 6D Superconformal Index

James T. Liu·Brian McPeak
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Abstract

We explore the connection between the holographic Weyl anomaly and the superconformal index in six-dimensional $(1,0)$ theories. Using earlier results from holographic computations of the $\mathcal O(1)$ contributions $\delta a$ and $\delta(c-a)$ to the corresponding six-dimensional Weyl anomaly coefficients, we derive a pair of differential operators that extracts these values from the large-$N$ single-trace index. In doing so, we also highlight the structure of these corrections in terms of group theory invariants of the superconformal representations.

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James T. Liu, Brian McPeak. 2018-04-11. The Weyl Anomaly from the 6D Superconformal Index. https://arxiv.org/abs/1804.04155

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