The Weyl Anomaly from the 6D Superconformal Index

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.

13 pages, discussion around Eq. (17) clarified

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Cited by in corpus (1)

• Holography, Supergravity, and the Weak Gravity Conjecture