Order $1/{\mathbf{N}}^3$ corrections to the conformal anomaly of the (2,0) theory in six dimensions

Abstract

Using Supergravity on $Ad{S}_7\times S^4$ we calculate the bulk one-loop contribution to the conformal anomaly of the (2,0) theory describing $N$ coincident M5 branes. When this is added to the tree-level result, and an additional subleading order contribution calculated by Tseytlin, it gives an expression for the anomaly that interpolates correctly between the large $N$ theory and the free (2,0) tensor theory corresponding to N=1. Thus we can argue that we have identified the exact $N$-dependence of the anomaly, which may have a simple protected form valid away from the large $N$ limit.

arXiv commentLaTeX, 9 pages

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• Conformal anomaly c-coefficients of superconformal 6d theories
• Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all
• One-Loop Holographic Weyl Anomaly in Six Dimensions
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
• The Weyl Anomaly from the 6D Superconformal Index
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• One-loop divergences in 7D Einstein and 6D Conformal Gravities